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Finding the Fourth Proportional to 12,587.96, 18,882.30 and 4,268

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Solution

The fourth proportional to 12,587.96, 18,882.30 and 4,268 is: 6,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.96 : 18,882.30 = 4,268 : x
  2. Step 2: Convert to fraction form
    12,587.96/18,882.30 = 4,268/x
  3. Step 3: Cross multiply
    12,587.96x = 18,882.30 × 4,268
  4. Step 4: Simplify right side
    12,587.96x = 80,589,656.40
  5. Step 5: Solve for x
    x = 80,589,656.40/12,587.96
  6. Step 6: Final answer
    x = 6,402.12

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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.