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Finding the Fourth Proportional to 21,706.20, 32,562.90 and 9,232.20

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Solution

The fourth proportional to 21,706.20, 32,562.90 and 9,232.20 is: 13,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.20 : 32,562.90 = 9,232.20 : x
  2. Step 2: Convert to fraction form
    21,706.20/32,562.90 = 9,232.20/x
  3. Step 3: Cross multiply
    21,706.20x = 32,562.90 × 9,232.20
  4. Step 4: Simplify right side
    21,706.20x = 300,627,205.38
  5. Step 5: Solve for x
    x = 300,627,205.38/21,706.20
  6. Step 6: Final answer
    x = 13,849.83

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1.5x scale

Why These Related Problems?

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