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Finding the Fourth Proportional to 20,839.38, 31,264.54 and 8,357.16

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Solution

The fourth proportional to 20,839.38, 31,264.54 and 8,357.16 is: 12,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,839.38 : 31,264.54 = 8,357.16 : x
  2. Step 2: Convert to fraction form
    20,839.38/31,264.54 = 8,357.16/x
  3. Step 3: Cross multiply
    20,839.38x = 31,264.54 × 8,357.16
  4. Step 4: Simplify right side
    20,839.38x = 261,282,763.11
  5. Step 5: Solve for x
    x = 261,282,763.11/20,839.38
  6. Step 6: Final answer
    x = 12,537.93

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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.