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Finding the Fourth Proportional to 23,761.70, 35,637.69 and 8,180.54

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Solution

The fourth proportional to 23,761.70, 35,637.69 and 8,180.54 is: 12,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761.70 : 35,637.69 = 8,180.54 : x
  2. Step 2: Convert to fraction form
    23,761.70/35,637.69 = 8,180.54/x
  3. Step 3: Cross multiply
    23,761.70x = 35,637.69 × 8,180.54
  4. Step 4: Simplify right side
    23,761.70x = 291,535,548.55
  5. Step 5: Solve for x
    x = 291,535,548.55/23,761.70
  6. Step 6: Final answer
    x = 12,269.14

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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.