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Finding the Fourth Proportional to 13,672.66, 18,870.38 and 8,295.98

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Solution

The fourth proportional to 13,672.66, 18,870.38 and 8,295.98 is: 11,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.66 : 18,870.38 = 8,295.98 : x
  2. Step 2: Convert to fraction form
    13,672.66/18,870.38 = 8,295.98/x
  3. Step 3: Cross multiply
    13,672.66x = 18,870.38 × 8,295.98
  4. Step 4: Simplify right side
    13,672.66x = 156,548,295.07
  5. Step 5: Solve for x
    x = 156,548,295.07/13,672.66
  6. Step 6: Final answer
    x = 11,449.73

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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.