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Finding the Fourth Proportional to 22,177.80, 33,266.70 and 13,429.80

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Solution

The fourth proportional to 22,177.80, 33,266.70 and 13,429.80 is: 20,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177.80 : 33,266.70 = 13,429.80 : x
  2. Step 2: Convert to fraction form
    22,177.80/33,266.70 = 13,429.80/x
  3. Step 3: Cross multiply
    22,177.80x = 33,266.70 × 13,429.80
  4. Step 4: Simplify right side
    22,177.80x = 446,765,127.66
  5. Step 5: Solve for x
    x = 446,765,127.66/22,177.80
  6. Step 6: Final answer
    x = 20,144.70

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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.