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Finding the Fourth Proportional to 13,443.38, 18,549.51 and 9,197.90

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Solution

The fourth proportional to 13,443.38, 18,549.51 and 9,197.90 is: 12,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.38 : 18,549.51 = 9,197.90 : x
  2. Step 2: Convert to fraction form
    13,443.38/18,549.51 = 9,197.90/x
  3. Step 3: Cross multiply
    13,443.38x = 18,549.51 × 9,197.90
  4. Step 4: Simplify right side
    13,443.38x = 170,616,538.03
  5. Step 5: Solve for x
    x = 170,616,538.03/13,443.38
  6. Step 6: Final answer
    x = 12,691.49

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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.