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Finding the Fourth Proportional to 22,721.95, 31,355.88 and 12,650.14

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Solution

The fourth proportional to 22,721.95, 31,355.88 and 12,650.14 is: 17,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,721.95 : 31,355.88 = 12,650.14 : x
  2. Step 2: Convert to fraction form
    22,721.95/31,355.88 = 12,650.14/x
  3. Step 3: Cross multiply
    22,721.95x = 31,355.88 × 12,650.14
  4. Step 4: Simplify right side
    22,721.95x = 396,656,271.82
  5. Step 5: Solve for x
    x = 396,656,271.82/22,721.95
  6. Step 6: Final answer
    x = 17,456.96

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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.