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Finding the Fourth Proportional to 24,591.42, 36,887.67 and 9,009

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Solution

The fourth proportional to 24,591.42, 36,887.67 and 9,009 is: 13,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,591.42 : 36,887.67 = 9,009 : x
  2. Step 2: Convert to fraction form
    24,591.42/36,887.67 = 9,009/x
  3. Step 3: Cross multiply
    24,591.42x = 36,887.67 × 9,009
  4. Step 4: Simplify right side
    24,591.42x = 332,321,019.03
  5. Step 5: Solve for x
    x = 332,321,019.03/24,591.42
  6. Step 6: Final answer
    x = 13,513.70

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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.