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Finding the Fourth Proportional to 28,462.38, 39,275.26 and 15,714.74

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Solution

The fourth proportional to 28,462.38, 39,275.26 and 15,714.74 is: 21,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,462.38 : 39,275.26 = 15,714.74 : x
  2. Step 2: Convert to fraction form
    28,462.38/39,275.26 = 15,714.74/x
  3. Step 3: Cross multiply
    28,462.38x = 39,275.26 × 15,714.74
  4. Step 4: Simplify right side
    28,462.38x = 617,200,499.33
  5. Step 5: Solve for x
    x = 617,200,499.33/28,462.38
  6. Step 6: Final answer
    x = 21,684.78

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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.