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Finding the Fourth Proportional to 20,866.62, 31,307.22 and 9,180.75

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Solution

The fourth proportional to 20,866.62, 31,307.22 and 9,180.75 is: 13,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.62 : 31,307.22 = 9,180.75 : x
  2. Step 2: Convert to fraction form
    20,866.62/31,307.22 = 9,180.75/x
  3. Step 3: Cross multiply
    20,866.62x = 31,307.22 × 9,180.75
  4. Step 4: Simplify right side
    20,866.62x = 287,423,760.02
  5. Step 5: Solve for x
    x = 287,423,760.02/20,866.62
  6. Step 6: Final answer
    x = 13,774.33

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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.