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Finding the Fourth Proportional to 24,027.29, 36,053.86 and 9,997

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Solution

The fourth proportional to 24,027.29, 36,053.86 and 9,997 is: 15,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,027.29 : 36,053.86 = 9,997 : x
  2. Step 2: Convert to fraction form
    24,027.29/36,053.86 = 9,997/x
  3. Step 3: Cross multiply
    24,027.29x = 36,053.86 × 9,997
  4. Step 4: Simplify right side
    24,027.29x = 360,430,438.42
  5. Step 5: Solve for x
    x = 360,430,438.42/24,027.29
  6. Step 6: Final answer
    x = 15,000.88

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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.