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Finding the Fourth Proportional to 17,827.50, 26,742.69 and 5,515.50

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Solution

The fourth proportional to 17,827.50, 26,742.69 and 5,515.50 is: 8,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.50 : 26,742.69 = 5,515.50 : x
  2. Step 2: Convert to fraction form
    17,827.50/26,742.69 = 5,515.50/x
  3. Step 3: Cross multiply
    17,827.50x = 26,742.69 × 5,515.50
  4. Step 4: Simplify right side
    17,827.50x = 147,499,306.70
  5. Step 5: Solve for x
    x = 147,499,306.70/17,827.50
  6. Step 6: Final answer
    x = 8,273.70

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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.