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Finding the Fourth Proportional to 28,332.42, 39,098.74 and 15,585.78

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Solution

The fourth proportional to 28,332.42, 39,098.74 and 15,585.78 is: 21,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,332.42 : 39,098.74 = 15,585.78 : x
  2. Step 2: Convert to fraction form
    28,332.42/39,098.74 = 15,585.78/x
  3. Step 3: Cross multiply
    28,332.42x = 39,098.74 × 15,585.78
  4. Step 4: Simplify right side
    28,332.42x = 609,384,359.92
  5. Step 5: Solve for x
    x = 609,384,359.92/28,332.42
  6. Step 6: Final answer
    x = 21,508.38

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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.