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Finding the Fourth Proportional to 25,294.09, 37,942.98 and 9,711.72

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Solution

The fourth proportional to 25,294.09, 37,942.98 and 9,711.72 is: 14,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.09 : 37,942.98 = 9,711.72 : x
  2. Step 2: Convert to fraction form
    25,294.09/37,942.98 = 9,711.72/x
  3. Step 3: Cross multiply
    25,294.09x = 37,942.98 × 9,711.72
  4. Step 4: Simplify right side
    25,294.09x = 368,491,597.73
  5. Step 5: Solve for x
    x = 368,491,597.73/25,294.09
  6. Step 6: Final answer
    x = 14,568.29

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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.