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Finding the Fourth Proportional to 15,069, 22,613.22 and 5,835

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Solution

The fourth proportional to 15,069, 22,613.22 and 5,835 is: 8,756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,069 : 22,613.22 = 5,835 : x
  2. Step 2: Convert to fraction form
    15,069/22,613.22 = 5,835/x
  3. Step 3: Cross multiply
    15,069x = 22,613.22 × 5,835
  4. Step 4: Simplify right side
    15,069x = 131,948,138.70
  5. Step 5: Solve for x
    x = 131,948,138.70/15,069
  6. Step 6: Final answer
    x = 8,756.26

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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.