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Finding the Fourth Proportional to 22,766.90, 31,397.84 and 14,269.87

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Solution

The fourth proportional to 22,766.90, 31,397.84 and 14,269.87 is: 19,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,766.90 : 31,397.84 = 14,269.87 : x
  2. Step 2: Convert to fraction form
    22,766.90/31,397.84 = 14,269.87/x
  3. Step 3: Cross multiply
    22,766.90x = 31,397.84 × 14,269.87
  4. Step 4: Simplify right side
    22,766.90x = 448,043,136.56
  5. Step 5: Solve for x
    x = 448,043,136.56/22,766.90
  6. Step 6: Final answer
    x = 19,679.59

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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.