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Finding the Fourth Proportional to 23,802.38, 32,847.29 and 13,193.61

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Solution

The fourth proportional to 23,802.38, 32,847.29 and 13,193.61 is: 18,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.38 : 32,847.29 = 13,193.61 : x
  2. Step 2: Convert to fraction form
    23,802.38/32,847.29 = 13,193.61/x
  3. Step 3: Cross multiply
    23,802.38x = 32,847.29 × 13,193.61
  4. Step 4: Simplify right side
    23,802.38x = 433,374,267.85
  5. Step 5: Solve for x
    x = 433,374,267.85/23,802.38
  6. Step 6: Final answer
    x = 18,207.19

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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.