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Finding the Fourth Proportional to 17,617.12, 26,426.46 and 7,228

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Solution

The fourth proportional to 17,617.12, 26,426.46 and 7,228 is: 10,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.12 : 26,426.46 = 7,228 : x
  2. Step 2: Convert to fraction form
    17,617.12/26,426.46 = 7,228/x
  3. Step 3: Cross multiply
    17,617.12x = 26,426.46 × 7,228
  4. Step 4: Simplify right side
    17,617.12x = 191,010,452.88
  5. Step 5: Solve for x
    x = 191,010,452.88/17,617.12
  6. Step 6: Final answer
    x = 10,842.32

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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.