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Finding the Fourth Proportional to 15,269.10, 22,899.97 and 6,379.63

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Solution

The fourth proportional to 15,269.10, 22,899.97 and 6,379.63 is: 9,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,269.10 : 22,899.97 = 6,379.63 : x
  2. Step 2: Convert to fraction form
    15,269.10/22,899.97 = 6,379.63/x
  3. Step 3: Cross multiply
    15,269.10x = 22,899.97 × 6,379.63
  4. Step 4: Simplify right side
    15,269.10x = 146,093,250.45
  5. Step 5: Solve for x
    x = 146,093,250.45/15,269.10
  6. Step 6: Final answer
    x = 9,567.90

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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.