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Finding the Fourth Proportional to 19,642.75, 27,106.49 and 11,467.92

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Solution

The fourth proportional to 19,642.75, 27,106.49 and 11,467.92 is: 15,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.75 : 27,106.49 = 11,467.92 : x
  2. Step 2: Convert to fraction form
    19,642.75/27,106.49 = 11,467.92/x
  3. Step 3: Cross multiply
    19,642.75x = 27,106.49 × 11,467.92
  4. Step 4: Simplify right side
    19,642.75x = 310,855,080.63
  5. Step 5: Solve for x
    x = 310,855,080.63/19,642.75
  6. Step 6: Final answer
    x = 15,825.43

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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.