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Finding the Fourth Proportional to 17,119.72, 23,622.89 and 9,565.10

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Solution

The fourth proportional to 17,119.72, 23,622.89 and 9,565.10 is: 13,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,119.72 : 23,622.89 = 9,565.10 : x
  2. Step 2: Convert to fraction form
    17,119.72/23,622.89 = 9,565.10/x
  3. Step 3: Cross multiply
    17,119.72x = 23,622.89 × 9,565.10
  4. Step 4: Simplify right side
    17,119.72x = 225,955,414.47
  5. Step 5: Solve for x
    x = 225,955,414.47/17,119.72
  6. Step 6: Final answer
    x = 13,198.55

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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.