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Finding the Fourth Proportional to 17,428.57, 26,146.50 and 5,742.70

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Solution

The fourth proportional to 17,428.57, 26,146.50 and 5,742.70 is: 8,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,428.57 : 26,146.50 = 5,742.70 : x
  2. Step 2: Convert to fraction form
    17,428.57/26,146.50 = 5,742.70/x
  3. Step 3: Cross multiply
    17,428.57x = 26,146.50 × 5,742.70
  4. Step 4: Simplify right side
    17,428.57x = 150,151,418.65
  5. Step 5: Solve for x
    x = 150,151,418.65/17,428.57
  6. Step 6: Final answer
    x = 8,615.25

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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.