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Finding the Fourth Proportional to 22,516.26, 31,073.67 and 14,565.30

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Solution

The fourth proportional to 22,516.26, 31,073.67 and 14,565.30 is: 20,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.26 : 31,073.67 = 14,565.30 : x
  2. Step 2: Convert to fraction form
    22,516.26/31,073.67 = 14,565.30/x
  3. Step 3: Cross multiply
    22,516.26x = 31,073.67 × 14,565.30
  4. Step 4: Simplify right side
    22,516.26x = 452,597,325.65
  5. Step 5: Solve for x
    x = 452,597,325.65/22,516.26
  6. Step 6: Final answer
    x = 20,100.91

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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.