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Finding the Fourth Proportional to 14,770.74, 22,149.62 and 5,530.26

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Solution

The fourth proportional to 14,770.74, 22,149.62 and 5,530.26 is: 8,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.74 : 22,149.62 = 5,530.26 : x
  2. Step 2: Convert to fraction form
    14,770.74/22,149.62 = 5,530.26/x
  3. Step 3: Cross multiply
    14,770.74x = 22,149.62 × 5,530.26
  4. Step 4: Simplify right side
    14,770.74x = 122,493,157.50
  5. Step 5: Solve for x
    x = 122,493,157.50/14,770.74
  6. Step 6: Final answer
    x = 8,292.96

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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.