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Finding the Fourth Proportional to 19,982.19, 27,574.88 and 11,029.05

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Solution

The fourth proportional to 19,982.19, 27,574.88 and 11,029.05 is: 15,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.19 : 27,574.88 = 11,029.05 : x
  2. Step 2: Convert to fraction form
    19,982.19/27,574.88 = 11,029.05/x
  3. Step 3: Cross multiply
    19,982.19x = 27,574.88 × 11,029.05
  4. Step 4: Simplify right side
    19,982.19x = 304,124,698.38
  5. Step 5: Solve for x
    x = 304,124,698.38/19,982.19
  6. Step 6: Final answer
    x = 15,219.79

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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.