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Finding the Fourth Proportional to 28,294.87, 42,377.68 and 13,514.24

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Solution

The fourth proportional to 28,294.87, 42,377.68 and 13,514.24 is: 20,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,294.87 : 42,377.68 = 13,514.24 : x
  2. Step 2: Convert to fraction form
    28,294.87/42,377.68 = 13,514.24/x
  3. Step 3: Cross multiply
    28,294.87x = 42,377.68 × 13,514.24
  4. Step 4: Simplify right side
    28,294.87x = 572,702,261.00
  5. Step 5: Solve for x
    x = 572,702,261.00/28,294.87
  6. Step 6: Final answer
    x = 20,240.50

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Why These Related Problems?

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