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Finding the Fourth Proportional to 12,932.16, 17,853.20 and 8,705.44

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Solution

The fourth proportional to 12,932.16, 17,853.20 and 8,705.44 is: 12,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.16 : 17,853.20 = 8,705.44 : x
  2. Step 2: Convert to fraction form
    12,932.16/17,853.20 = 8,705.44/x
  3. Step 3: Cross multiply
    12,932.16x = 17,853.20 × 8,705.44
  4. Step 4: Simplify right side
    12,932.16x = 155,419,961.41
  5. Step 5: Solve for x
    x = 155,419,961.41/12,932.16
  6. Step 6: Final answer
    x = 12,018.10

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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.