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Finding the Fourth Proportional to 17,681.90, 26,517.17 and 5,833.01

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Solution

The fourth proportional to 17,681.90, 26,517.17 and 5,833.01 is: 8,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.90 : 26,517.17 = 5,833.01 : x
  2. Step 2: Convert to fraction form
    17,681.90/26,517.17 = 5,833.01/x
  3. Step 3: Cross multiply
    17,681.90x = 26,517.17 × 5,833.01
  4. Step 4: Simplify right side
    17,681.90x = 154,674,756.03
  5. Step 5: Solve for x
    x = 154,674,756.03/17,681.90
  6. Step 6: Final answer
    x = 8,747.63

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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.