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Finding the Fourth Proportional to 13,859.68, 19,126.38 and 7,891.35

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Solution

The fourth proportional to 13,859.68, 19,126.38 and 7,891.35 is: 10,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.68 : 19,126.38 = 7,891.35 : x
  2. Step 2: Convert to fraction form
    13,859.68/19,126.38 = 7,891.35/x
  3. Step 3: Cross multiply
    13,859.68x = 19,126.38 × 7,891.35
  4. Step 4: Simplify right side
    13,859.68x = 150,932,919.36
  5. Step 5: Solve for x
    x = 150,932,919.36/13,859.68
  6. Step 6: Final answer
    x = 10,890.07

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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.