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Finding the Fourth Proportional to 22,883.85, 34,284.33 and 19,209.69

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Solution

The fourth proportional to 22,883.85, 34,284.33 and 19,209.69 is: 28,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.85 : 34,284.33 = 19,209.69 : x
  2. Step 2: Convert to fraction form
    22,883.85/34,284.33 = 19,209.69/x
  3. Step 3: Cross multiply
    22,883.85x = 34,284.33 × 19,209.69
  4. Step 4: Simplify right side
    22,883.85x = 658,591,351.16
  5. Step 5: Solve for x
    x = 658,591,351.16/22,883.85
  6. Step 6: Final answer
    x = 28,779.74

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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.