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Finding the Fourth Proportional to 23,791.50, 35,689.68 and 8,209.08

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Solution

The fourth proportional to 23,791.50, 35,689.68 and 8,209.08 is: 12,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.50 : 35,689.68 = 8,209.08 : x
  2. Step 2: Convert to fraction form
    23,791.50/35,689.68 = 8,209.08/x
  3. Step 3: Cross multiply
    23,791.50x = 35,689.68 × 8,209.08
  4. Step 4: Simplify right side
    23,791.50x = 292,979,438.29
  5. Step 5: Solve for x
    x = 292,979,438.29/23,791.50
  6. Step 6: Final answer
    x = 12,314.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.