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Finding the Fourth Proportional to 13,138.01, 18,130.38 and 7,169.66

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Solution

The fourth proportional to 13,138.01, 18,130.38 and 7,169.66 is: 9,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.01 : 18,130.38 = 7,169.66 : x
  2. Step 2: Convert to fraction form
    13,138.01/18,130.38 = 7,169.66/x
  3. Step 3: Cross multiply
    13,138.01x = 18,130.38 × 7,169.66
  4. Step 4: Simplify right side
    13,138.01x = 129,988,569.62
  5. Step 5: Solve for x
    x = 129,988,569.62/13,138.01
  6. Step 6: Final answer
    x = 9,894.09

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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.