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Finding the Fourth Proportional to 19,705.01, 27,191.77 and 11,209.19

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Solution

The fourth proportional to 19,705.01, 27,191.77 and 11,209.19 is: 15,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.01 : 27,191.77 = 11,209.19 : x
  2. Step 2: Convert to fraction form
    19,705.01/27,191.77 = 11,209.19/x
  3. Step 3: Cross multiply
    19,705.01x = 27,191.77 × 11,209.19
  4. Step 4: Simplify right side
    19,705.01x = 304,797,552.38
  5. Step 5: Solve for x
    x = 304,797,552.38/19,705.01
  6. Step 6: Final answer
    x = 15,468.03

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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.