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Finding the Fourth Proportional to 20,878.72, 31,319.18 and 5,296.48

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Solution

The fourth proportional to 20,878.72, 31,319.18 and 5,296.48 is: 7,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.72 : 31,319.18 = 5,296.48 : x
  2. Step 2: Convert to fraction form
    20,878.72/31,319.18 = 5,296.48/x
  3. Step 3: Cross multiply
    20,878.72x = 31,319.18 × 5,296.48
  4. Step 4: Simplify right side
    20,878.72x = 165,881,410.49
  5. Step 5: Solve for x
    x = 165,881,410.49/20,878.72
  6. Step 6: Final answer
    x = 7,945.00

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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.