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Finding the Fourth Proportional to 23,742.72, 35,614.08 and 9,882

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Solution

The fourth proportional to 23,742.72, 35,614.08 and 9,882 is: 14,823

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,742.72 : 35,614.08 = 9,882 : x
  2. Step 2: Convert to fraction form
    23,742.72/35,614.08 = 9,882/x
  3. Step 3: Cross multiply
    23,742.72x = 35,614.08 × 9,882
  4. Step 4: Simplify right side
    23,742.72x = 351,938,338.56
  5. Step 5: Solve for x
    x = 351,938,338.56/23,742.72
  6. Step 6: Final answer
    x = 14,823

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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.