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Finding the Fourth Proportional to 12,803.27, 19,191.74 and 9,284.49

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Solution

The fourth proportional to 12,803.27, 19,191.74 and 9,284.49 is: 13,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.27 : 19,191.74 = 9,284.49 : x
  2. Step 2: Convert to fraction form
    12,803.27/19,191.74 = 9,284.49/x
  3. Step 3: Cross multiply
    12,803.27x = 19,191.74 × 9,284.49
  4. Step 4: Simplify right side
    12,803.27x = 178,185,471.69
  5. Step 5: Solve for x
    x = 178,185,471.69/12,803.27
  6. Step 6: Final answer
    x = 13,917.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.