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Finding the Fourth Proportional to 21,562.71, 32,344.98 and 7,524.15

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Solution

The fourth proportional to 21,562.71, 32,344.98 and 7,524.15 is: 11,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,562.71 : 32,344.98 = 7,524.15 : x
  2. Step 2: Convert to fraction form
    21,562.71/32,344.98 = 7,524.15/x
  3. Step 3: Cross multiply
    21,562.71x = 32,344.98 × 7,524.15
  4. Step 4: Simplify right side
    21,562.71x = 243,368,481.27
  5. Step 5: Solve for x
    x = 243,368,481.27/21,562.71
  6. Step 6: Final answer
    x = 11,286.54

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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.