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Finding the Fourth Proportional to 21,710.92, 32,565.84 and 9,227.56

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Solution

The fourth proportional to 21,710.92, 32,565.84 and 9,227.56 is: 13,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.92 : 32,565.84 = 9,227.56 : x
  2. Step 2: Convert to fraction form
    21,710.92/32,565.84 = 9,227.56/x
  3. Step 3: Cross multiply
    21,710.92x = 32,565.84 × 9,227.56
  4. Step 4: Simplify right side
    21,710.92x = 300,503,242.55
  5. Step 5: Solve for x
    x = 300,503,242.55/21,710.92
  6. Step 6: Final answer
    x = 13,841.11

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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.