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Finding the Fourth Proportional to 19,633.27, 27,095.66 and 11,567

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Solution

The fourth proportional to 19,633.27, 27,095.66 and 11,567 is: 15,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.27 : 27,095.66 = 11,567 : x
  2. Step 2: Convert to fraction form
    19,633.27/27,095.66 = 11,567/x
  3. Step 3: Cross multiply
    19,633.27x = 27,095.66 × 11,567
  4. Step 4: Simplify right side
    19,633.27x = 313,415,499.22
  5. Step 5: Solve for x
    x = 313,415,499.22/19,633.27
  6. Step 6: Final answer
    x = 15,963.49

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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.