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Finding the Fourth Proportional to 16,978,641.60, 25,451,952.48 and 8,450,916.24

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Solution

The fourth proportional to 16,978,641.60, 25,451,952.48 and 8,450,916.24 is: 12,668,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978,641.60 : 25,451,952.48 = 8,450,916.24 : x
  2. Step 2: Convert to fraction form
    16,978,641.60/25,451,952.48 = 8,450,916.24/x
  3. Step 3: Cross multiply
    16,978,641.60x = 25,451,952.48 × 8,450,916.24
  4. Step 4: Simplify right side
    16,978,641.60x = 215,092,318,552,940.28
  5. Step 5: Solve for x
    x = 215,092,318,552,940.28/16,978,641.60
  6. Step 6: Final answer
    x = 12,668,405.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.