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Finding the Fourth Proportional to 23,854.53, 35,781.87 and 8,272.16

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Solution

The fourth proportional to 23,854.53, 35,781.87 and 8,272.16 is: 12,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.53 : 35,781.87 = 8,272.16 : x
  2. Step 2: Convert to fraction form
    23,854.53/35,781.87 = 8,272.16/x
  3. Step 3: Cross multiply
    23,854.53x = 35,781.87 × 8,272.16
  4. Step 4: Simplify right side
    23,854.53x = 295,993,174.83
  5. Step 5: Solve for x
    x = 295,993,174.83/23,854.53
  6. Step 6: Final answer
    x = 12,408.26

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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.