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Finding the Fourth Proportional to 12,882.72, 17,786 and 12,088.48

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Solution

The fourth proportional to 12,882.72, 17,786 and 12,088.48 is: 16,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.72 : 17,786 = 12,088.48 : x
  2. Step 2: Convert to fraction form
    12,882.72/17,786 = 12,088.48/x
  3. Step 3: Cross multiply
    12,882.72x = 17,786 × 12,088.48
  4. Step 4: Simplify right side
    12,882.72x = 215,005,705.28
  5. Step 5: Solve for x
    x = 215,005,705.28/12,882.72
  6. Step 6: Final answer
    x = 16,689.47

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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.