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Finding the Fourth Proportional to 24,728, 34,125.12 and 13,550.72

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Solution

The fourth proportional to 24,728, 34,125.12 and 13,550.72 is: 18,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728 : 34,125.12 = 13,550.72 : x
  2. Step 2: Convert to fraction form
    24,728/34,125.12 = 13,550.72/x
  3. Step 3: Cross multiply
    24,728x = 34,125.12 × 13,550.72
  4. Step 4: Simplify right side
    24,728x = 462,419,946.09
  5. Step 5: Solve for x
    x = 462,419,946.09/24,728
  6. Step 6: Final answer
    x = 18,700.26

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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.