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Finding the Fourth Proportional to 13,950.17, 19,251.37 and 7,662.54

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Solution

The fourth proportional to 13,950.17, 19,251.37 and 7,662.54 is: 10,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.17 : 19,251.37 = 7,662.54 : x
  2. Step 2: Convert to fraction form
    13,950.17/19,251.37 = 7,662.54/x
  3. Step 3: Cross multiply
    13,950.17x = 19,251.37 × 7,662.54
  4. Step 4: Simplify right side
    13,950.17x = 147,514,392.68
  5. Step 5: Solve for x
    x = 147,514,392.68/13,950.17
  6. Step 6: Final answer
    x = 10,574.38

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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.