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Finding the Fourth Proportional to 16,416.14, 24,641.31 and 7,659.50

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Solution

The fourth proportional to 16,416.14, 24,641.31 and 7,659.50 is: 11,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.14 : 24,641.31 = 7,659.50 : x
  2. Step 2: Convert to fraction form
    16,416.14/24,641.31 = 7,659.50/x
  3. Step 3: Cross multiply
    16,416.14x = 24,641.31 × 7,659.50
  4. Step 4: Simplify right side
    16,416.14x = 188,740,113.95
  5. Step 5: Solve for x
    x = 188,740,113.95/16,416.14
  6. Step 6: Final answer
    x = 11,497.23

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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.