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Finding the Fourth Proportional to 24,655.92, 36,999 and 9,073.68

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Solution

The fourth proportional to 24,655.92, 36,999 and 9,073.68 is: 13,616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,655.92 : 36,999 = 9,073.68 : x
  2. Step 2: Convert to fraction form
    24,655.92/36,999 = 9,073.68/x
  3. Step 3: Cross multiply
    24,655.92x = 36,999 × 9,073.68
  4. Step 4: Simplify right side
    24,655.92x = 335,717,086.32
  5. Step 5: Solve for x
    x = 335,717,086.32/24,655.92
  6. Step 6: Final answer
    x = 13,616.08

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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.