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Finding the Fourth Proportional to 23,839, 32,897.82 and 13,230.34

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Solution

The fourth proportional to 23,839, 32,897.82 and 13,230.34 is: 18,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839 : 32,897.82 = 13,230.34 : x
  2. Step 2: Convert to fraction form
    23,839/32,897.82 = 13,230.34/x
  3. Step 3: Cross multiply
    23,839x = 32,897.82 × 13,230.34
  4. Step 4: Simplify right side
    23,839x = 435,249,343.86
  5. Step 5: Solve for x
    x = 435,249,343.86/23,839
  6. Step 6: Final answer
    x = 18,257.87

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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.