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Finding the Fourth Proportional to 24,591.48, 36,864.18 and 8,997

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Solution

The fourth proportional to 24,591.48, 36,864.18 and 8,997 is: 13,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,591.48 : 36,864.18 = 8,997 : x
  2. Step 2: Convert to fraction form
    24,591.48/36,864.18 = 8,997/x
  3. Step 3: Cross multiply
    24,591.48x = 36,864.18 × 8,997
  4. Step 4: Simplify right side
    24,591.48x = 331,667,027.46
  5. Step 5: Solve for x
    x = 331,667,027.46/24,591.48
  6. Step 6: Final answer
    x = 13,487.07

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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.