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Finding the Fourth Proportional to 13,447.38, 18,549.68 and 11,165.81

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Solution

The fourth proportional to 13,447.38, 18,549.68 and 11,165.81 is: 15,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.38 : 18,549.68 = 11,165.81 : x
  2. Step 2: Convert to fraction form
    13,447.38/18,549.68 = 11,165.81/x
  3. Step 3: Cross multiply
    13,447.38x = 18,549.68 × 11,165.81
  4. Step 4: Simplify right side
    13,447.38x = 207,122,053.86
  5. Step 5: Solve for x
    x = 207,122,053.86/13,447.38
  6. Step 6: Final answer
    x = 15,402.41

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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.