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Finding the Fourth Proportional to 14,138.22, 19,502.19 and 10,954.38

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Solution

The fourth proportional to 14,138.22, 19,502.19 and 10,954.38 is: 15,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.22 : 19,502.19 = 10,954.38 : x
  2. Step 2: Convert to fraction form
    14,138.22/19,502.19 = 10,954.38/x
  3. Step 3: Cross multiply
    14,138.22x = 19,502.19 × 10,954.38
  4. Step 4: Simplify right side
    14,138.22x = 213,634,400.09
  5. Step 5: Solve for x
    x = 213,634,400.09/14,138.22
  6. Step 6: Final answer
    x = 15,110.42

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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.