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Finding the Fourth Proportional to 20,775.62, 31,167.75 and 9,085.70

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Solution

The fourth proportional to 20,775.62, 31,167.75 and 9,085.70 is: 13,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.62 : 31,167.75 = 9,085.70 : x
  2. Step 2: Convert to fraction form
    20,775.62/31,167.75 = 9,085.70/x
  3. Step 3: Cross multiply
    20,775.62x = 31,167.75 × 9,085.70
  4. Step 4: Simplify right side
    20,775.62x = 283,180,826.18
  5. Step 5: Solve for x
    x = 283,180,826.18/20,775.62
  6. Step 6: Final answer
    x = 13,630.44

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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.