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Finding the Fourth Proportional to 20,898.87, 31,348.50 and 5,316.48

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Solution

The fourth proportional to 20,898.87, 31,348.50 and 5,316.48 is: 7,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898.87 : 31,348.50 = 5,316.48 : x
  2. Step 2: Convert to fraction form
    20,898.87/31,348.50 = 5,316.48/x
  3. Step 3: Cross multiply
    20,898.87x = 31,348.50 × 5,316.48
  4. Step 4: Simplify right side
    20,898.87x = 166,663,673.28
  5. Step 5: Solve for x
    x = 166,663,673.28/20,898.87
  6. Step 6: Final answer
    x = 7,974.77

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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.