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Finding the Fourth Proportional to 28,802.38, 39,758.43 and 22,516.78

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Solution

The fourth proportional to 28,802.38, 39,758.43 and 22,516.78 is: 31,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,802.38 : 39,758.43 = 22,516.78 : x
  2. Step 2: Convert to fraction form
    28,802.38/39,758.43 = 22,516.78/x
  3. Step 3: Cross multiply
    28,802.38x = 39,758.43 × 22,516.78
  4. Step 4: Simplify right side
    28,802.38x = 895,231,821.46
  5. Step 5: Solve for x
    x = 895,231,821.46/28,802.38
  6. Step 6: Final answer
    x = 31,081.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.