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Finding the Fourth Proportional to 22,146.80, 30,562.68 and 13,198.80

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Solution

The fourth proportional to 22,146.80, 30,562.68 and 13,198.80 is: 18,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,146.80 : 30,562.68 = 13,198.80 : x
  2. Step 2: Convert to fraction form
    22,146.80/30,562.68 = 13,198.80/x
  3. Step 3: Cross multiply
    22,146.80x = 30,562.68 × 13,198.80
  4. Step 4: Simplify right side
    22,146.80x = 403,390,700.78
  5. Step 5: Solve for x
    x = 403,390,700.78/22,146.80
  6. Step 6: Final answer
    x = 18,214.40

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