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Finding the Fourth Proportional to 20,876.40, 31,313.52 and 5,294.16

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Solution

The fourth proportional to 20,876.40, 31,313.52 and 5,294.16 is: 7,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,876.40 : 31,313.52 = 5,294.16 : x
  2. Step 2: Convert to fraction form
    20,876.40/31,313.52 = 5,294.16/x
  3. Step 3: Cross multiply
    20,876.40x = 31,313.52 × 5,294.16
  4. Step 4: Simplify right side
    20,876.40x = 165,778,785.04
  5. Step 5: Solve for x
    x = 165,778,785.04/20,876.40
  6. Step 6: Final answer
    x = 7,940.97

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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.