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Finding the Fourth Proportional to 13,627.38, 18,805.74 and 7,966.02

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Solution

The fourth proportional to 13,627.38, 18,805.74 and 7,966.02 is: 10,993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.38 : 18,805.74 = 7,966.02 : x
  2. Step 2: Convert to fraction form
    13,627.38/18,805.74 = 7,966.02/x
  3. Step 3: Cross multiply
    13,627.38x = 18,805.74 × 7,966.02
  4. Step 4: Simplify right side
    13,627.38x = 149,806,900.95
  5. Step 5: Solve for x
    x = 149,806,900.95/13,627.38
  6. Step 6: Final answer
    x = 10,993.08

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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.