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Finding the Fourth Proportional to 12,652.80, 18,979.68 and 3,768

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Solution

The fourth proportional to 12,652.80, 18,979.68 and 3,768 is: 5,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.80 : 18,979.68 = 3,768 : x
  2. Step 2: Convert to fraction form
    12,652.80/18,979.68 = 3,768/x
  3. Step 3: Cross multiply
    12,652.80x = 18,979.68 × 3,768
  4. Step 4: Simplify right side
    12,652.80x = 71,515,434.24
  5. Step 5: Solve for x
    x = 71,515,434.24/12,652.80
  6. Step 6: Final answer
    x = 5,652.14

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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.