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Finding the Fourth Proportional to 21,380.68, 32,049.15 and 10,831.15

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Solution

The fourth proportional to 21,380.68, 32,049.15 and 10,831.15 is: 16,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.68 : 32,049.15 = 10,831.15 : x
  2. Step 2: Convert to fraction form
    21,380.68/32,049.15 = 10,831.15/x
  3. Step 3: Cross multiply
    21,380.68x = 32,049.15 × 10,831.15
  4. Step 4: Simplify right side
    21,380.68x = 347,129,151.02
  5. Step 5: Solve for x
    x = 347,129,151.02/21,380.68
  6. Step 6: Final answer
    x = 16,235.65

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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.