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Finding the Fourth Proportional to 21,527.38, 32,299.35 and 8,389

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Solution

The fourth proportional to 21,527.38, 32,299.35 and 8,389 is: 12,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.38 : 32,299.35 = 8,389 : x
  2. Step 2: Convert to fraction form
    21,527.38/32,299.35 = 8,389/x
  3. Step 3: Cross multiply
    21,527.38x = 32,299.35 × 8,389
  4. Step 4: Simplify right side
    21,527.38x = 270,959,247.15
  5. Step 5: Solve for x
    x = 270,959,247.15/21,527.38
  6. Step 6: Final answer
    x = 12,586.73

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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.