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Finding the Fourth Proportional to 17,609.13, 26,417.61 and 5,922

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Solution

The fourth proportional to 17,609.13, 26,417.61 and 5,922 is: 8,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609.13 : 26,417.61 = 5,922 : x
  2. Step 2: Convert to fraction form
    17,609.13/26,417.61 = 5,922/x
  3. Step 3: Cross multiply
    17,609.13x = 26,417.61 × 5,922
  4. Step 4: Simplify right side
    17,609.13x = 156,445,086.42
  5. Step 5: Solve for x
    x = 156,445,086.42/17,609.13
  6. Step 6: Final answer
    x = 8,884.32

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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.