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Finding the Fourth Proportional to 22,602.73, 31,193.22 and 12,531.61

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Solution

The fourth proportional to 22,602.73, 31,193.22 and 12,531.61 is: 17,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602.73 : 31,193.22 = 12,531.61 : x
  2. Step 2: Convert to fraction form
    22,602.73/31,193.22 = 12,531.61/x
  3. Step 3: Cross multiply
    22,602.73x = 31,193.22 × 12,531.61
  4. Step 4: Simplify right side
    22,602.73x = 390,901,267.68
  5. Step 5: Solve for x
    x = 390,901,267.68/22,602.73
  6. Step 6: Final answer
    x = 17,294.43

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1.5x scale

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.