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Finding the Fourth Proportional to 13,338.13, 20,008.22 and 3,977.43

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Solution

The fourth proportional to 13,338.13, 20,008.22 and 3,977.43 is: 5,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.13 : 20,008.22 = 3,977.43 : x
  2. Step 2: Convert to fraction form
    13,338.13/20,008.22 = 3,977.43/x
  3. Step 3: Cross multiply
    13,338.13x = 20,008.22 × 3,977.43
  4. Step 4: Simplify right side
    13,338.13x = 79,581,294.47
  5. Step 5: Solve for x
    x = 79,581,294.47/13,338.13
  6. Step 6: Final answer
    x = 5,966.45

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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.