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Finding the Fourth Proportional to 21,123.81, 31,672.98 and 14,542.83

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Solution

The fourth proportional to 21,123.81, 31,672.98 and 14,542.83 is: 21,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.81 : 31,672.98 = 14,542.83 : x
  2. Step 2: Convert to fraction form
    21,123.81/31,672.98 = 14,542.83/x
  3. Step 3: Cross multiply
    21,123.81x = 31,672.98 × 14,542.83
  4. Step 4: Simplify right side
    21,123.81x = 460,614,763.73
  5. Step 5: Solve for x
    x = 460,614,763.73/21,123.81
  6. Step 6: Final answer
    x = 21,805.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.