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Finding the Fourth Proportional to 20,921.34, 31,379.13 and 5,338.02

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Solution

The fourth proportional to 20,921.34, 31,379.13 and 5,338.02 is: 8,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,921.34 : 31,379.13 = 5,338.02 : x
  2. Step 2: Convert to fraction form
    20,921.34/31,379.13 = 5,338.02/x
  3. Step 3: Cross multiply
    20,921.34x = 31,379.13 × 5,338.02
  4. Step 4: Simplify right side
    20,921.34x = 167,502,423.52
  5. Step 5: Solve for x
    x = 167,502,423.52/20,921.34
  6. Step 6: Final answer
    x = 8,006.30

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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.