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Finding the Fourth Proportional to 22,641.90, 31,245.55 and 12,569.95

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Solution

The fourth proportional to 22,641.90, 31,245.55 and 12,569.95 is: 17,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.90 : 31,245.55 = 12,569.95 : x
  2. Step 2: Convert to fraction form
    22,641.90/31,245.55 = 12,569.95/x
  3. Step 3: Cross multiply
    22,641.90x = 31,245.55 × 12,569.95
  4. Step 4: Simplify right side
    22,641.90x = 392,755,008.85
  5. Step 5: Solve for x
    x = 392,755,008.85/22,641.90
  6. Step 6: Final answer
    x = 17,346.38

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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.