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Finding the Fourth Proportional to 23,484.28, 32,408.43 and 12,729.17

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Solution

The fourth proportional to 23,484.28, 32,408.43 and 12,729.17 is: 17,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.28 : 32,408.43 = 12,729.17 : x
  2. Step 2: Convert to fraction form
    23,484.28/32,408.43 = 12,729.17/x
  3. Step 3: Cross multiply
    23,484.28x = 32,408.43 × 12,729.17
  4. Step 4: Simplify right side
    23,484.28x = 412,532,414.90
  5. Step 5: Solve for x
    x = 412,532,414.90/23,484.28
  6. Step 6: Final answer
    x = 17,566.32

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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.