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Finding the Fourth Proportional to 23,337.62, 32,207.84 and 13,269.23

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Solution

The fourth proportional to 23,337.62, 32,207.84 and 13,269.23 is: 18,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,337.62 : 32,207.84 = 13,269.23 : x
  2. Step 2: Convert to fraction form
    23,337.62/32,207.84 = 13,269.23/x
  3. Step 3: Cross multiply
    23,337.62x = 32,207.84 × 13,269.23
  4. Step 4: Simplify right side
    23,337.62x = 427,373,009.38
  5. Step 5: Solve for x
    x = 427,373,009.38/23,337.62
  6. Step 6: Final answer
    x = 18,312.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.