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Finding the Fourth Proportional to 13,996.38, 19,314.96 and 7,708.74

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Solution

The fourth proportional to 13,996.38, 19,314.96 and 7,708.74 is: 10,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996.38 : 19,314.96 = 7,708.74 : x
  2. Step 2: Convert to fraction form
    13,996.38/19,314.96 = 7,708.74/x
  3. Step 3: Cross multiply
    13,996.38x = 19,314.96 × 7,708.74
  4. Step 4: Simplify right side
    13,996.38x = 148,894,004.75
  5. Step 5: Solve for x
    x = 148,894,004.75/13,996.38
  6. Step 6: Final answer
    x = 10,638.04

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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.