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Finding the Fourth Proportional to 20,298.91, 30,444.77 and 5,508.97

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Solution

The fourth proportional to 20,298.91, 30,444.77 and 5,508.97 is: 8,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.91 : 30,444.77 = 5,508.97 : x
  2. Step 2: Convert to fraction form
    20,298.91/30,444.77 = 5,508.97/x
  3. Step 3: Cross multiply
    20,298.91x = 30,444.77 × 5,508.97
  4. Step 4: Simplify right side
    20,298.91x = 167,719,411.21
  5. Step 5: Solve for x
    x = 167,719,411.21/20,298.91
  6. Step 6: Final answer
    x = 8,262.49

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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.