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Finding the Fourth Proportional to 23,436, 32,341.68 and 17,472.78

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Solution

The fourth proportional to 23,436, 32,341.68 and 17,472.78 is: 24,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,436 : 32,341.68 = 17,472.78 : x
  2. Step 2: Convert to fraction form
    23,436/32,341.68 = 17,472.78/x
  3. Step 3: Cross multiply
    23,436x = 32,341.68 × 17,472.78
  4. Step 4: Simplify right side
    23,436x = 565,099,059.47
  5. Step 5: Solve for x
    x = 565,099,059.47/23,436
  6. Step 6: Final answer
    x = 24,112.44

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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.