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Finding the Fourth Proportional to 19,684.24, 27,162.88 and 11,071.71

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Solution

The fourth proportional to 19,684.24, 27,162.88 and 11,071.71 is: 15,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.24 : 27,162.88 = 11,071.71 : x
  2. Step 2: Convert to fraction form
    19,684.24/27,162.88 = 11,071.71/x
  3. Step 3: Cross multiply
    19,684.24x = 27,162.88 × 11,071.71
  4. Step 4: Simplify right side
    19,684.24x = 300,739,530.12
  5. Step 5: Solve for x
    x = 300,739,530.12/19,684.24
  6. Step 6: Final answer
    x = 15,278.19

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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.