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Finding the Fourth Proportional to 23,743.80, 32,765.04 and 13,132.80

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Solution

The fourth proportional to 23,743.80, 32,765.04 and 13,132.80 is: 18,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,743.80 : 32,765.04 = 13,132.80 : x
  2. Step 2: Convert to fraction form
    23,743.80/32,765.04 = 13,132.80/x
  3. Step 3: Cross multiply
    23,743.80x = 32,765.04 × 13,132.80
  4. Step 4: Simplify right side
    23,743.80x = 430,296,717.31
  5. Step 5: Solve for x
    x = 430,296,717.31/23,743.80
  6. Step 6: Final answer
    x = 18,122.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.