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Finding the Fourth Proportional to 22,545.66, 31,112 and 12,336.50

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Solution

The fourth proportional to 22,545.66, 31,112 and 12,336.50 is: 17,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545.66 : 31,112 = 12,336.50 : x
  2. Step 2: Convert to fraction form
    22,545.66/31,112 = 12,336.50/x
  3. Step 3: Cross multiply
    22,545.66x = 31,112 × 12,336.50
  4. Step 4: Simplify right side
    22,545.66x = 383,813,188
  5. Step 5: Solve for x
    x = 383,813,188/22,545.66
  6. Step 6: Final answer
    x = 17,023.82

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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.