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Finding the Fourth Proportional to 20,097.61, 27,734.70 and 11,146.48

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Solution

The fourth proportional to 20,097.61, 27,734.70 and 11,146.48 is: 15,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.61 : 27,734.70 = 11,146.48 : x
  2. Step 2: Convert to fraction form
    20,097.61/27,734.70 = 11,146.48/x
  3. Step 3: Cross multiply
    20,097.61x = 27,734.70 × 11,146.48
  4. Step 4: Simplify right side
    20,097.61x = 309,144,209.52
  5. Step 5: Solve for x
    x = 309,144,209.52/20,097.61
  6. Step 6: Final answer
    x = 15,382.14

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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.