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Finding the Fourth Proportional to 24,084.30, 36,127.88 and 9,293.30

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Solution

The fourth proportional to 24,084.30, 36,127.88 and 9,293.30 is: 13,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,084.30 : 36,127.88 = 9,293.30 : x
  2. Step 2: Convert to fraction form
    24,084.30/36,127.88 = 9,293.30/x
  3. Step 3: Cross multiply
    24,084.30x = 36,127.88 × 9,293.30
  4. Step 4: Simplify right side
    24,084.30x = 335,747,000.10
  5. Step 5: Solve for x
    x = 335,747,000.10/24,084.30
  6. Step 6: Final answer
    x = 13,940.49

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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.