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Finding the Fourth Proportional to 20,876.60, 31,309.36 and 9,034.48

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Solution

The fourth proportional to 20,876.60, 31,309.36 and 9,034.48 is: 13,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,876.60 : 31,309.36 = 9,034.48 : x
  2. Step 2: Convert to fraction form
    20,876.60/31,309.36 = 9,034.48/x
  3. Step 3: Cross multiply
    20,876.60x = 31,309.36 × 9,034.48
  4. Step 4: Simplify right side
    20,876.60x = 282,863,786.73
  5. Step 5: Solve for x
    x = 282,863,786.73/20,876.60
  6. Step 6: Final answer
    x = 13,549.32

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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.