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Finding the Fourth Proportional to 12,577.64, 18,869.19 and 3,813.24

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Solution

The fourth proportional to 12,577.64, 18,869.19 and 3,813.24 is: 5,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.64 : 18,869.19 = 3,813.24 : x
  2. Step 2: Convert to fraction form
    12,577.64/18,869.19 = 3,813.24/x
  3. Step 3: Cross multiply
    12,577.64x = 18,869.19 × 3,813.24
  4. Step 4: Simplify right side
    12,577.64x = 71,952,750.08
  5. Step 5: Solve for x
    x = 71,952,750.08/12,577.64
  6. Step 6: Final answer
    x = 5,720.69

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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.