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Finding the Fourth Proportional to 22,414.93, 30,931.17 and 12,342.88

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Solution

The fourth proportional to 22,414.93, 30,931.17 and 12,342.88 is: 17,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.93 : 30,931.17 = 12,342.88 : x
  2. Step 2: Convert to fraction form
    22,414.93/30,931.17 = 12,342.88/x
  3. Step 3: Cross multiply
    22,414.93x = 30,931.17 × 12,342.88
  4. Step 4: Simplify right side
    22,414.93x = 381,779,711.95
  5. Step 5: Solve for x
    x = 381,779,711.95/22,414.93
  6. Step 6: Final answer
    x = 17,032.39

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Why These Related Problems?

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