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Finding the Fourth Proportional to 17,170.45, 23,695.74 and 9,616.76

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Solution

The fourth proportional to 17,170.45, 23,695.74 and 9,616.76 is: 13,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,170.45 : 23,695.74 = 9,616.76 : x
  2. Step 2: Convert to fraction form
    17,170.45/23,695.74 = 9,616.76/x
  3. Step 3: Cross multiply
    17,170.45x = 23,695.74 × 9,616.76
  4. Step 4: Simplify right side
    17,170.45x = 227,876,214.98
  5. Step 5: Solve for x
    x = 227,876,214.98/17,170.45
  6. Step 6: Final answer
    x = 13,271.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.