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Finding the Fourth Proportional to 24,708, 37,062 and 9,125.64

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Solution

The fourth proportional to 24,708, 37,062 and 9,125.64 is: 13,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708 : 37,062 = 9,125.64 : x
  2. Step 2: Convert to fraction form
    24,708/37,062 = 9,125.64/x
  3. Step 3: Cross multiply
    24,708x = 37,062 × 9,125.64
  4. Step 4: Simplify right side
    24,708x = 338,214,469.68
  5. Step 5: Solve for x
    x = 338,214,469.68/24,708
  6. Step 6: Final answer
    x = 13,688.46

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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.