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Finding the Fourth Proportional to 20,030.92, 30,046.44 and 8,344

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Solution

The fourth proportional to 20,030.92, 30,046.44 and 8,344 is: 12,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.92 : 30,046.44 = 8,344 : x
  2. Step 2: Convert to fraction form
    20,030.92/30,046.44 = 8,344/x
  3. Step 3: Cross multiply
    20,030.92x = 30,046.44 × 8,344
  4. Step 4: Simplify right side
    20,030.92x = 250,707,495.36
  5. Step 5: Solve for x
    x = 250,707,495.36/20,030.92
  6. Step 6: Final answer
    x = 12,516.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.