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Finding the Fourth Proportional to 17,065.38, 25,600.20 and 6,675.78

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Solution

The fourth proportional to 17,065.38, 25,600.20 and 6,675.78 is: 10,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.38 : 25,600.20 = 6,675.78 : x
  2. Step 2: Convert to fraction form
    17,065.38/25,600.20 = 6,675.78/x
  3. Step 3: Cross multiply
    17,065.38x = 25,600.20 × 6,675.78
  4. Step 4: Simplify right side
    17,065.38x = 170,901,303.16
  5. Step 5: Solve for x
    x = 170,901,303.16/17,065.38
  6. Step 6: Final answer
    x = 10,014.50

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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.