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Finding the Fourth Proportional to 13,960.93, 19,270.57 and 8,938.68

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Solution

The fourth proportional to 13,960.93, 19,270.57 and 8,938.68 is: 12,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.93 : 19,270.57 = 8,938.68 : x
  2. Step 2: Convert to fraction form
    13,960.93/19,270.57 = 8,938.68/x
  3. Step 3: Cross multiply
    13,960.93x = 19,270.57 × 8,938.68
  4. Step 4: Simplify right side
    13,960.93x = 172,253,397.56
  5. Step 5: Solve for x
    x = 172,253,397.56/13,960.93
  6. Step 6: Final answer
    x = 12,338.25

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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.