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Finding the Fourth Proportional to 22,432.75, 30,957.84 and 12,497.39

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Solution

The fourth proportional to 22,432.75, 30,957.84 and 12,497.39 is: 17,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.75 : 30,957.84 = 12,497.39 : x
  2. Step 2: Convert to fraction form
    22,432.75/30,957.84 = 12,497.39/x
  3. Step 3: Cross multiply
    22,432.75x = 30,957.84 × 12,497.39
  4. Step 4: Simplify right side
    22,432.75x = 386,892,137.55
  5. Step 5: Solve for x
    x = 386,892,137.55/22,432.75
  6. Step 6: Final answer
    x = 17,246.75

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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.