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Finding the Fourth Proportional to 13,427.98, 18,524.65 and 8,947.36

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Solution

The fourth proportional to 13,427.98, 18,524.65 and 8,947.36 is: 12,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.98 : 18,524.65 = 8,947.36 : x
  2. Step 2: Convert to fraction form
    13,427.98/18,524.65 = 8,947.36/x
  3. Step 3: Cross multiply
    13,427.98x = 18,524.65 × 8,947.36
  4. Step 4: Simplify right side
    13,427.98x = 165,746,729.99
  5. Step 5: Solve for x
    x = 165,746,729.99/13,427.98
  6. Step 6: Final answer
    x = 12,343.39

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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.