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Finding the Fourth Proportional to 24,680.97, 37,024.98 and 9,097.38

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Solution

The fourth proportional to 24,680.97, 37,024.98 and 9,097.38 is: 13,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,680.97 : 37,024.98 = 9,097.38 : x
  2. Step 2: Convert to fraction form
    24,680.97/37,024.98 = 9,097.38/x
  3. Step 3: Cross multiply
    24,680.97x = 37,024.98 × 9,097.38
  4. Step 4: Simplify right side
    24,680.97x = 336,830,312.55
  5. Step 5: Solve for x
    x = 336,830,312.55/24,680.97
  6. Step 6: Final answer
    x = 13,647.37

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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.