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Finding the Fourth Proportional to 16,381.31, 24,577.14 and 5,851.10

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Solution

The fourth proportional to 16,381.31, 24,577.14 and 5,851.10 is: 8,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.31 : 24,577.14 = 5,851.10 : x
  2. Step 2: Convert to fraction form
    16,381.31/24,577.14 = 5,851.10/x
  3. Step 3: Cross multiply
    16,381.31x = 24,577.14 × 5,851.10
  4. Step 4: Simplify right side
    16,381.31x = 143,803,180.97
  5. Step 5: Solve for x
    x = 143,803,180.97/16,381.31
  6. Step 6: Final answer
    x = 8,778.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.