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Finding the Fourth Proportional to 26,742.72, 40,114.08 and 12,882

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Solution

The fourth proportional to 26,742.72, 40,114.08 and 12,882 is: 19,323

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742.72 : 40,114.08 = 12,882 : x
  2. Step 2: Convert to fraction form
    26,742.72/40,114.08 = 12,882/x
  3. Step 3: Cross multiply
    26,742.72x = 40,114.08 × 12,882
  4. Step 4: Simplify right side
    26,742.72x = 516,749,578.56
  5. Step 5: Solve for x
    x = 516,749,578.56/26,742.72
  6. Step 6: Final answer
    x = 19,323

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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.