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Finding the Fourth Proportional to 23,656.38, 32,645.80 and 13,046.24

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Solution

The fourth proportional to 23,656.38, 32,645.80 and 13,046.24 is: 18,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656.38 : 32,645.80 = 13,046.24 : x
  2. Step 2: Convert to fraction form
    23,656.38/32,645.80 = 13,046.24/x
  3. Step 3: Cross multiply
    23,656.38x = 32,645.80 × 13,046.24
  4. Step 4: Simplify right side
    23,656.38x = 425,904,941.79
  5. Step 5: Solve for x
    x = 425,904,941.79/23,656.38
  6. Step 6: Final answer
    x = 18,003.81

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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.