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Finding the Fourth Proportional to 22,545.28, 31,113.35 and 12,337

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Solution

The fourth proportional to 22,545.28, 31,113.35 and 12,337 is: 17,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545.28 : 31,113.35 = 12,337 : x
  2. Step 2: Convert to fraction form
    22,545.28/31,113.35 = 12,337/x
  3. Step 3: Cross multiply
    22,545.28x = 31,113.35 × 12,337
  4. Step 4: Simplify right side
    22,545.28x = 383,845,398.95
  5. Step 5: Solve for x
    x = 383,845,398.95/22,545.28
  6. Step 6: Final answer
    x = 17,025.53

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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.