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Finding the Fourth Proportional to 21,306.16, 31,963.86 and 8,158.54

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Solution

The fourth proportional to 21,306.16, 31,963.86 and 8,158.54 is: 12,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.16 : 31,963.86 = 8,158.54 : x
  2. Step 2: Convert to fraction form
    21,306.16/31,963.86 = 8,158.54/x
  3. Step 3: Cross multiply
    21,306.16x = 31,963.86 × 8,158.54
  4. Step 4: Simplify right side
    21,306.16x = 260,778,269.80
  5. Step 5: Solve for x
    x = 260,778,269.80/21,306.16
  6. Step 6: Final answer
    x = 12,239.57

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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.