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Finding the Fourth Proportional to 24,498.72, 36,728.64 and 10,638

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Solution

The fourth proportional to 24,498.72, 36,728.64 and 10,638 is: 15,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498.72 : 36,728.64 = 10,638 : x
  2. Step 2: Convert to fraction form
    24,498.72/36,728.64 = 10,638/x
  3. Step 3: Cross multiply
    24,498.72x = 36,728.64 × 10,638
  4. Step 4: Simplify right side
    24,498.72x = 390,719,272.32
  5. Step 5: Solve for x
    x = 390,719,272.32/24,498.72
  6. Step 6: Final answer
    x = 15,948.56

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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.