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Finding the Fourth Proportional to 19,642.66, 27,106.82 and 11,146.44

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Solution

The fourth proportional to 19,642.66, 27,106.82 and 11,146.44 is: 15,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.66 : 27,106.82 = 11,146.44 : x
  2. Step 2: Convert to fraction form
    19,642.66/27,106.82 = 11,146.44/x
  3. Step 3: Cross multiply
    19,642.66x = 27,106.82 × 11,146.44
  4. Step 4: Simplify right side
    19,642.66x = 302,144,542.72
  5. Step 5: Solve for x
    x = 302,144,542.72/19,642.66
  6. Step 6: Final answer
    x = 15,382.06

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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.