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Finding the Fourth Proportional to 22,532.57, 31,097.21 and 12,461.78

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Solution

The fourth proportional to 22,532.57, 31,097.21 and 12,461.78 is: 17,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.57 : 31,097.21 = 12,461.78 : x
  2. Step 2: Convert to fraction form
    22,532.57/31,097.21 = 12,461.78/x
  3. Step 3: Cross multiply
    22,532.57x = 31,097.21 × 12,461.78
  4. Step 4: Simplify right side
    22,532.57x = 387,526,371.84
  5. Step 5: Solve for x
    x = 387,526,371.84/22,532.57
  6. Step 6: Final answer
    x = 17,198.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.