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Finding the Fourth Proportional to 19,977, 29,933.82 and 13,378.92

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Solution

The fourth proportional to 19,977, 29,933.82 and 13,378.92 is: 20,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977 : 29,933.82 = 13,378.92 : x
  2. Step 2: Convert to fraction form
    19,977/29,933.82 = 13,378.92/x
  3. Step 3: Cross multiply
    19,977x = 29,933.82 × 13,378.92
  4. Step 4: Simplify right side
    19,977x = 400,482,183.07
  5. Step 5: Solve for x
    x = 400,482,183.07/19,977
  6. Step 6: Final answer
    x = 20,047.16

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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.