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Finding the Fourth Proportional to 22,475.60, 33,713.40 and 10,782.80

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Solution

The fourth proportional to 22,475.60, 33,713.40 and 10,782.80 is: 16,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,475.60 : 33,713.40 = 10,782.80 : x
  2. Step 2: Convert to fraction form
    22,475.60/33,713.40 = 10,782.80/x
  3. Step 3: Cross multiply
    22,475.60x = 33,713.40 × 10,782.80
  4. Step 4: Simplify right side
    22,475.60x = 363,524,849.52
  5. Step 5: Solve for x
    x = 363,524,849.52/22,475.60
  6. Step 6: Final answer
    x = 16,174.20

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