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Finding the Fourth Proportional to 24,454.49, 36,657.11 and 9,657.68

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Solution

The fourth proportional to 24,454.49, 36,657.11 and 9,657.68 is: 14,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.49 : 36,657.11 = 9,657.68 : x
  2. Step 2: Convert to fraction form
    24,454.49/36,657.11 = 9,657.68/x
  3. Step 3: Cross multiply
    24,454.49x = 36,657.11 × 9,657.68
  4. Step 4: Simplify right side
    24,454.49x = 354,022,478.96
  5. Step 5: Solve for x
    x = 354,022,478.96/24,454.49
  6. Step 6: Final answer
    x = 14,476.79

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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.