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Finding the Fourth Proportional to 14,149.09, 19,524.81 and 7,775.55

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Solution

The fourth proportional to 14,149.09, 19,524.81 and 7,775.55 is: 10,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.09 : 19,524.81 = 7,775.55 : x
  2. Step 2: Convert to fraction form
    14,149.09/19,524.81 = 7,775.55/x
  3. Step 3: Cross multiply
    14,149.09x = 19,524.81 × 7,775.55
  4. Step 4: Simplify right side
    14,149.09x = 151,816,095.09
  5. Step 5: Solve for x
    x = 151,816,095.09/14,149.09
  6. Step 6: Final answer
    x = 10,729.74

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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.