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Finding the Fourth Proportional to 12,411.72, 17,132.58 and 8,221.32

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Solution

The fourth proportional to 12,411.72, 17,132.58 and 8,221.32 is: 11,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.72 : 17,132.58 = 8,221.32 : x
  2. Step 2: Convert to fraction form
    12,411.72/17,132.58 = 8,221.32/x
  3. Step 3: Cross multiply
    12,411.72x = 17,132.58 × 8,221.32
  4. Step 4: Simplify right side
    12,411.72x = 140,852,422.61
  5. Step 5: Solve for x
    x = 140,852,422.61/12,411.72
  6. Step 6: Final answer
    x = 11,348.34

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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.