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Finding the Fourth Proportional to 13,195.74, 18,209.77 and 7,530.39

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Solution

The fourth proportional to 13,195.74, 18,209.77 and 7,530.39 is: 10,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.74 : 18,209.77 = 7,530.39 : x
  2. Step 2: Convert to fraction form
    13,195.74/18,209.77 = 7,530.39/x
  3. Step 3: Cross multiply
    13,195.74x = 18,209.77 × 7,530.39
  4. Step 4: Simplify right side
    13,195.74x = 137,126,651.08
  5. Step 5: Solve for x
    x = 137,126,651.08/13,195.74
  6. Step 6: Final answer
    x = 10,391.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.