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Finding the Fourth Proportional to 19,682, 27,161.16 and 11,301.20

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Solution

The fourth proportional to 19,682, 27,161.16 and 11,301.20 is: 15,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682 : 27,161.16 = 11,301.20 : x
  2. Step 2: Convert to fraction form
    19,682/27,161.16 = 11,301.20/x
  3. Step 3: Cross multiply
    19,682x = 27,161.16 × 11,301.20
  4. Step 4: Simplify right side
    19,682x = 306,953,701.39
  5. Step 5: Solve for x
    x = 306,953,701.39/19,682
  6. Step 6: Final answer
    x = 15,595.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.