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Finding the Fourth Proportional to 23,842.47, 32,902.29 and 13,231.88

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Solution

The fourth proportional to 23,842.47, 32,902.29 and 13,231.88 is: 18,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.47 : 32,902.29 = 13,231.88 : x
  2. Step 2: Convert to fraction form
    23,842.47/32,902.29 = 13,231.88/x
  3. Step 3: Cross multiply
    23,842.47x = 32,902.29 × 13,231.88
  4. Step 4: Simplify right side
    23,842.47x = 435,358,988.49
  5. Step 5: Solve for x
    x = 435,358,988.49/23,842.47
  6. Step 6: Final answer
    x = 18,259.81

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