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Finding the Fourth Proportional to 17,113.20, 25,669.80 and 6,019.80

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Solution

The fourth proportional to 17,113.20, 25,669.80 and 6,019.80 is: 9,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,113.20 : 25,669.80 = 6,019.80 : x
  2. Step 2: Convert to fraction form
    17,113.20/25,669.80 = 6,019.80/x
  3. Step 3: Cross multiply
    17,113.20x = 25,669.80 × 6,019.80
  4. Step 4: Simplify right side
    17,113.20x = 154,527,062.04
  5. Step 5: Solve for x
    x = 154,527,062.04/17,113.20
  6. Step 6: Final answer
    x = 9,029.70

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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.