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Finding the Fourth Proportional to 13,371.66, 18,451.44 and 7,402.38

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Solution

The fourth proportional to 13,371.66, 18,451.44 and 7,402.38 is: 10,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,371.66 : 18,451.44 = 7,402.38 : x
  2. Step 2: Convert to fraction form
    13,371.66/18,451.44 = 7,402.38/x
  3. Step 3: Cross multiply
    13,371.66x = 18,451.44 × 7,402.38
  4. Step 4: Simplify right side
    13,371.66x = 136,584,570.43
  5. Step 5: Solve for x
    x = 136,584,570.43/13,371.66
  6. Step 6: Final answer
    x = 10,214.48

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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.