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Finding the Fourth Proportional to 17,642.67, 26,474.40 and 7,117.80

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Solution

The fourth proportional to 17,642.67, 26,474.40 and 7,117.80 is: 10,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.67 : 26,474.40 = 7,117.80 : x
  2. Step 2: Convert to fraction form
    17,642.67/26,474.40 = 7,117.80/x
  3. Step 3: Cross multiply
    17,642.67x = 26,474.40 × 7,117.80
  4. Step 4: Simplify right side
    17,642.67x = 188,439,484.32
  5. Step 5: Solve for x
    x = 188,439,484.32/17,642.67
  6. Step 6: Final answer
    x = 10,680.89

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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.