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Finding the Fourth Proportional to 21,116.88, 31,682.96 and 9,882.08

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Solution

The fourth proportional to 21,116.88, 31,682.96 and 9,882.08 is: 14,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116.88 : 31,682.96 = 9,882.08 : x
  2. Step 2: Convert to fraction form
    21,116.88/31,682.96 = 9,882.08/x
  3. Step 3: Cross multiply
    21,116.88x = 31,682.96 × 9,882.08
  4. Step 4: Simplify right side
    21,116.88x = 313,093,545.36
  5. Step 5: Solve for x
    x = 313,093,545.36/21,116.88
  6. Step 6: Final answer
    x = 14,826.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.