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Finding the Fourth Proportional to 21,016, 31,524.18 and 5,432.68

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Solution

The fourth proportional to 21,016, 31,524.18 and 5,432.68 is: 8,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016 : 31,524.18 = 5,432.68 : x
  2. Step 2: Convert to fraction form
    21,016/31,524.18 = 5,432.68/x
  3. Step 3: Cross multiply
    21,016x = 31,524.18 × 5,432.68
  4. Step 4: Simplify right side
    21,016x = 171,260,782.20
  5. Step 5: Solve for x
    x = 171,260,782.20/21,016
  6. Step 6: Final answer
    x = 8,149.07

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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.