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Finding the Fourth Proportional to 12,432.96, 17,138.04 and 8,447.04

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Solution

The fourth proportional to 12,432.96, 17,138.04 and 8,447.04 is: 11,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.96 : 17,138.04 = 8,447.04 : x
  2. Step 2: Convert to fraction form
    12,432.96/17,138.04 = 8,447.04/x
  3. Step 3: Cross multiply
    12,432.96x = 17,138.04 × 8,447.04
  4. Step 4: Simplify right side
    12,432.96x = 144,765,709.40
  5. Step 5: Solve for x
    x = 144,765,709.40/12,432.96
  6. Step 6: Final answer
    x = 11,643.70

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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.