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Finding the Fourth Proportional to 16,352.72, 24,544.48 and 8,567

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Solution

The fourth proportional to 16,352.72, 24,544.48 and 8,567 is: 12,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352.72 : 24,544.48 = 8,567 : x
  2. Step 2: Convert to fraction form
    16,352.72/24,544.48 = 8,567/x
  3. Step 3: Cross multiply
    16,352.72x = 24,544.48 × 8,567
  4. Step 4: Simplify right side
    16,352.72x = 210,272,560.16
  5. Step 5: Solve for x
    x = 210,272,560.16/16,352.72
  6. Step 6: Final answer
    x = 12,858.57

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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.