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Finding the Fourth Proportional to 21,706.78, 32,560.17 and 6,920.23

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Solution

The fourth proportional to 21,706.78, 32,560.17 and 6,920.23 is: 10,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.78 : 32,560.17 = 6,920.23 : x
  2. Step 2: Convert to fraction form
    21,706.78/32,560.17 = 6,920.23/x
  3. Step 3: Cross multiply
    21,706.78x = 32,560.17 × 6,920.23
  4. Step 4: Simplify right side
    21,706.78x = 225,323,865.24
  5. Step 5: Solve for x
    x = 225,323,865.24/21,706.78
  6. Step 6: Final answer
    x = 10,380.35

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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.