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Finding the Fourth Proportional to 24,362.53, 36,543.80 and 9,167.96

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Solution

The fourth proportional to 24,362.53, 36,543.80 and 9,167.96 is: 13,751.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.53 : 36,543.80 = 9,167.96 : x
  2. Step 2: Convert to fraction form
    24,362.53/36,543.80 = 9,167.96/x
  3. Step 3: Cross multiply
    24,362.53x = 36,543.80 × 9,167.96
  4. Step 4: Simplify right side
    24,362.53x = 335,032,073.89
  5. Step 5: Solve for x
    x = 335,032,073.89/24,362.53
  6. Step 6: Final answer
    x = 13,751.94

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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.