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Finding the Fourth Proportional to 17,102.85, 25,655.73 and 6,008.57

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Solution

The fourth proportional to 17,102.85, 25,655.73 and 6,008.57 is: 9,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.85 : 25,655.73 = 6,008.57 : x
  2. Step 2: Convert to fraction form
    17,102.85/25,655.73 = 6,008.57/x
  3. Step 3: Cross multiply
    17,102.85x = 25,655.73 × 6,008.57
  4. Step 4: Simplify right side
    17,102.85x = 154,154,249.61
  5. Step 5: Solve for x
    x = 154,154,249.61/17,102.85
  6. Step 6: Final answer
    x = 9,013.37

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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.