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Finding the Fourth Proportional to 17,154.13, 25,722.75 and 6,059.20

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Solution

The fourth proportional to 17,154.13, 25,722.75 and 6,059.20 is: 9,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.13 : 25,722.75 = 6,059.20 : x
  2. Step 2: Convert to fraction form
    17,154.13/25,722.75 = 6,059.20/x
  3. Step 3: Cross multiply
    17,154.13x = 25,722.75 × 6,059.20
  4. Step 4: Simplify right side
    17,154.13x = 155,859,286.80
  5. Step 5: Solve for x
    x = 155,859,286.80/17,154.13
  6. Step 6: Final answer
    x = 9,085.82

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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.