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Finding the Fourth Proportional to 21,706.57, 32,562.26 and 6,912.06

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Solution

The fourth proportional to 21,706.57, 32,562.26 and 6,912.06 is: 10,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.57 : 32,562.26 = 6,912.06 : x
  2. Step 2: Convert to fraction form
    21,706.57/32,562.26 = 6,912.06/x
  3. Step 3: Cross multiply
    21,706.57x = 32,562.26 × 6,912.06
  4. Step 4: Simplify right side
    21,706.57x = 225,072,294.86
  5. Step 5: Solve for x
    x = 225,072,294.86/21,706.57
  6. Step 6: Final answer
    x = 10,368.86

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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.