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Finding the Fourth Proportional to 23,777.80, 32,813.38 and 13,167.20

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Solution

The fourth proportional to 23,777.80, 32,813.38 and 13,167.20 is: 18,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.80 : 32,813.38 = 13,167.20 : x
  2. Step 2: Convert to fraction form
    23,777.80/32,813.38 = 13,167.20/x
  3. Step 3: Cross multiply
    23,777.80x = 32,813.38 × 13,167.20
  4. Step 4: Simplify right side
    23,777.80x = 432,060,337.14
  5. Step 5: Solve for x
    x = 432,060,337.14/23,777.80
  6. Step 6: Final answer
    x = 18,170.74

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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.