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Finding the Fourth Proportional to 16,374.45, 24,517.93 and 9,784.29

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Solution

The fourth proportional to 16,374.45, 24,517.93 and 9,784.29 is: 14,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.45 : 24,517.93 = 9,784.29 : x
  2. Step 2: Convert to fraction form
    16,374.45/24,517.93 = 9,784.29/x
  3. Step 3: Cross multiply
    16,374.45x = 24,517.93 × 9,784.29
  4. Step 4: Simplify right side
    16,374.45x = 239,890,537.32
  5. Step 5: Solve for x
    x = 239,890,537.32/16,374.45
  6. Step 6: Final answer
    x = 14,650.30

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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.