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Finding the Fourth Proportional to 16,115.12, 24,173.40 and 4,428.44

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Solution

The fourth proportional to 16,115.12, 24,173.40 and 4,428.44 is: 6,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,115.12 : 24,173.40 = 4,428.44 : x
  2. Step 2: Convert to fraction form
    16,115.12/24,173.40 = 4,428.44/x
  3. Step 3: Cross multiply
    16,115.12x = 24,173.40 × 4,428.44
  4. Step 4: Simplify right side
    16,115.12x = 107,050,451.50
  5. Step 5: Solve for x
    x = 107,050,451.50/16,115.12
  6. Step 6: Final answer
    x = 6,642.86

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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.