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Finding the Fourth Proportional to 19,966.38, 27,553.42 and 11,013.95

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Solution

The fourth proportional to 19,966.38, 27,553.42 and 11,013.95 is: 15,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,966.38 : 27,553.42 = 11,013.95 : x
  2. Step 2: Convert to fraction form
    19,966.38/27,553.42 = 11,013.95/x
  3. Step 3: Cross multiply
    19,966.38x = 27,553.42 × 11,013.95
  4. Step 4: Simplify right side
    19,966.38x = 303,471,990.21
  5. Step 5: Solve for x
    x = 303,471,990.21/19,966.38
  6. Step 6: Final answer
    x = 15,199.15

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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.