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Finding the Fourth Proportional to 28,000.12, 38,640 and 15,424.88

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Solution

The fourth proportional to 28,000.12, 38,640 and 15,424.88 is: 21,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,000.12 : 38,640 = 15,424.88 : x
  2. Step 2: Convert to fraction form
    28,000.12/38,640 = 15,424.88/x
  3. Step 3: Cross multiply
    28,000.12x = 38,640 × 15,424.88
  4. Step 4: Simplify right side
    28,000.12x = 596,017,363.20
  5. Step 5: Solve for x
    x = 596,017,363.20/28,000.12
  6. Step 6: Final answer
    x = 21,286.24

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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.