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Finding the Fourth Proportional to 22,534.74, 31,097.75 and 12,463.92

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Solution

The fourth proportional to 22,534.74, 31,097.75 and 12,463.92 is: 17,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.74 : 31,097.75 = 12,463.92 : x
  2. Step 2: Convert to fraction form
    22,534.74/31,097.75 = 12,463.92/x
  3. Step 3: Cross multiply
    22,534.74x = 31,097.75 × 12,463.92
  4. Step 4: Simplify right side
    22,534.74x = 387,599,805.86
  5. Step 5: Solve for x
    x = 387,599,805.86/22,534.74
  6. Step 6: Final answer
    x = 17,200.10

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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.