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Finding the Fourth Proportional to 19,707.09, 27,193.38 and 11,210.29

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Solution

The fourth proportional to 19,707.09, 27,193.38 and 11,210.29 is: 15,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.09 : 27,193.38 = 11,210.29 : x
  2. Step 2: Convert to fraction form
    19,707.09/27,193.38 = 11,210.29/x
  3. Step 3: Cross multiply
    19,707.09x = 27,193.38 × 11,210.29
  4. Step 4: Simplify right side
    19,707.09x = 304,845,675.88
  5. Step 5: Solve for x
    x = 304,845,675.88/19,707.09
  6. Step 6: Final answer
    x = 15,468.83

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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.