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Finding the Fourth Proportional to 22,545.90, 31,113.09 and 12,474.66

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Solution

The fourth proportional to 22,545.90, 31,113.09 and 12,474.66 is: 17,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545.90 : 31,113.09 = 12,474.66 : x
  2. Step 2: Convert to fraction form
    22,545.90/31,113.09 = 12,474.66/x
  3. Step 3: Cross multiply
    22,545.90x = 31,113.09 × 12,474.66
  4. Step 4: Simplify right side
    22,545.90x = 388,125,219.30
  5. Step 5: Solve for x
    x = 388,125,219.30/22,545.90
  6. Step 6: Final answer
    x = 17,214.89

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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.