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Finding the Fourth Proportional to 24,398.34, 36,587.14 and 7,753.92

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Solution

The fourth proportional to 24,398.34, 36,587.14 and 7,753.92 is: 11,627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,398.34 : 36,587.14 = 7,753.92 : x
  2. Step 2: Convert to fraction form
    24,398.34/36,587.14 = 7,753.92/x
  3. Step 3: Cross multiply
    24,398.34x = 36,587.14 × 7,753.92
  4. Step 4: Simplify right side
    24,398.34x = 283,693,756.59
  5. Step 5: Solve for x
    x = 283,693,756.59/24,398.34
  6. Step 6: Final answer
    x = 11,627.58

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