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Finding the Fourth Proportional to 20,780.91, 31,311.63 and 17,164.17

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Solution

The fourth proportional to 20,780.91, 31,311.63 and 17,164.17 is: 25,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780.91 : 31,311.63 = 17,164.17 : x
  2. Step 2: Convert to fraction form
    20,780.91/31,311.63 = 17,164.17/x
  3. Step 3: Cross multiply
    20,780.91x = 31,311.63 × 17,164.17
  4. Step 4: Simplify right side
    20,780.91x = 537,438,140.30
  5. Step 5: Solve for x
    x = 537,438,140.30/20,780.91
  6. Step 6: Final answer
    x = 25,862.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.