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Finding the Fourth Proportional to 13,643.88, 18,823.20 and 10,067.52

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Solution

The fourth proportional to 13,643.88, 18,823.20 and 10,067.52 is: 13,889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.88 : 18,823.20 = 10,067.52 : x
  2. Step 2: Convert to fraction form
    13,643.88/18,823.20 = 10,067.52/x
  3. Step 3: Cross multiply
    13,643.88x = 18,823.20 × 10,067.52
  4. Step 4: Simplify right side
    13,643.88x = 189,502,942.46
  5. Step 5: Solve for x
    x = 189,502,942.46/13,643.88
  6. Step 6: Final answer
    x = 13,889.23

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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.