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Finding the Fourth Proportional to 13,719.38, 18,932.88 and 7,431.89

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Solution

The fourth proportional to 13,719.38, 18,932.88 and 7,431.89 is: 10,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.38 : 18,932.88 = 7,431.89 : x
  2. Step 2: Convert to fraction form
    13,719.38/18,932.88 = 7,431.89/x
  3. Step 3: Cross multiply
    13,719.38x = 18,932.88 × 7,431.89
  4. Step 4: Simplify right side
    13,719.38x = 140,707,081.54
  5. Step 5: Solve for x
    x = 140,707,081.54/13,719.38
  6. Step 6: Final answer
    x = 10,256.08

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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.