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Finding the Fourth Proportional to 20,095.92, 30,124.04 and 8,417.20

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Solution

The fourth proportional to 20,095.92, 30,124.04 and 8,417.20 is: 12,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095.92 : 30,124.04 = 8,417.20 : x
  2. Step 2: Convert to fraction form
    20,095.92/30,124.04 = 8,417.20/x
  3. Step 3: Cross multiply
    20,095.92x = 30,124.04 × 8,417.20
  4. Step 4: Simplify right side
    20,095.92x = 253,560,069.49
  5. Step 5: Solve for x
    x = 253,560,069.49/20,095.92
  6. Step 6: Final answer
    x = 12,617.49

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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.