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Finding the Fourth Proportional to 17,101.05, 25,634.14 and 9,689.85

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Solution

The fourth proportional to 17,101.05, 25,634.14 and 9,689.85 is: 14,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.05 : 25,634.14 = 9,689.85 : x
  2. Step 2: Convert to fraction form
    17,101.05/25,634.14 = 9,689.85/x
  3. Step 3: Cross multiply
    17,101.05x = 25,634.14 × 9,689.85
  4. Step 4: Simplify right side
    17,101.05x = 248,390,947.25
  5. Step 5: Solve for x
    x = 248,390,947.25/17,101.05
  6. Step 6: Final answer
    x = 14,524.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.