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Finding the Fourth Proportional to 22,532.62, 31,093.76 and 12,460.46

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Solution

The fourth proportional to 22,532.62, 31,093.76 and 12,460.46 is: 17,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.62 : 31,093.76 = 12,460.46 : x
  2. Step 2: Convert to fraction form
    22,532.62/31,093.76 = 12,460.46/x
  3. Step 3: Cross multiply
    22,532.62x = 31,093.76 × 12,460.46
  4. Step 4: Simplify right side
    22,532.62x = 387,442,552.73
  5. Step 5: Solve for x
    x = 387,442,552.73/22,532.62
  6. Step 6: Final answer
    x = 17,194.74

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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.