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Finding the Fourth Proportional to 24,695.52, 37,046.16 and 8,680.14

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Solution

The fourth proportional to 24,695.52, 37,046.16 and 8,680.14 is: 13,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,695.52 : 37,046.16 = 8,680.14 : x
  2. Step 2: Convert to fraction form
    24,695.52/37,046.16 = 8,680.14/x
  3. Step 3: Cross multiply
    24,695.52x = 37,046.16 × 8,680.14
  4. Step 4: Simplify right side
    24,695.52x = 321,565,855.26
  5. Step 5: Solve for x
    x = 321,565,855.26/24,695.52
  6. Step 6: Final answer
    x = 13,021.22

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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.