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Finding the Fourth Proportional to 13,375.86, 18,449.52 and 9,176.82

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Solution

The fourth proportional to 13,375.86, 18,449.52 and 9,176.82 is: 12,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.86 : 18,449.52 = 9,176.82 : x
  2. Step 2: Convert to fraction form
    13,375.86/18,449.52 = 9,176.82/x
  3. Step 3: Cross multiply
    13,375.86x = 18,449.52 × 9,176.82
  4. Step 4: Simplify right side
    13,375.86x = 169,307,924.13
  5. Step 5: Solve for x
    x = 169,307,924.13/13,375.86
  6. Step 6: Final answer
    x = 12,657.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.