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Finding the Fourth Proportional to 24,381.28, 36,578.10 and 6,851.20

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Solution

The fourth proportional to 24,381.28, 36,578.10 and 6,851.20 is: 10,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.28 : 36,578.10 = 6,851.20 : x
  2. Step 2: Convert to fraction form
    24,381.28/36,578.10 = 6,851.20/x
  3. Step 3: Cross multiply
    24,381.28x = 36,578.10 × 6,851.20
  4. Step 4: Simplify right side
    24,381.28x = 250,603,878.72
  5. Step 5: Solve for x
    x = 250,603,878.72/24,381.28
  6. Step 6: Final answer
    x = 10,278.54

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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.