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Finding the Fourth Proportional to 13,901.85, 19,186.38 and 7,932.15

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Solution

The fourth proportional to 13,901.85, 19,186.38 and 7,932.15 is: 10,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.85 : 19,186.38 = 7,932.15 : x
  2. Step 2: Convert to fraction form
    13,901.85/19,186.38 = 7,932.15/x
  3. Step 3: Cross multiply
    13,901.85x = 19,186.38 × 7,932.15
  4. Step 4: Simplify right side
    13,901.85x = 152,189,244.12
  5. Step 5: Solve for x
    x = 152,189,244.12/13,901.85
  6. Step 6: Final answer
    x = 10,947.41

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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.