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Finding the Fourth Proportional to 23,308.80, 34,963.55 and 5,778.64

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Solution

The fourth proportional to 23,308.80, 34,963.55 and 5,778.64 is: 8,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308.80 : 34,963.55 = 5,778.64 : x
  2. Step 2: Convert to fraction form
    23,308.80/34,963.55 = 5,778.64/x
  3. Step 3: Cross multiply
    23,308.80x = 34,963.55 × 5,778.64
  4. Step 4: Simplify right side
    23,308.80x = 202,041,805.05
  5. Step 5: Solve for x
    x = 202,041,805.05/23,308.80
  6. Step 6: Final answer
    x = 8,668.05

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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.