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Finding the Fourth Proportional to 12,803.82, 19,217.72 and 7,883.07

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Solution

The fourth proportional to 12,803.82, 19,217.72 and 7,883.07 is: 11,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.82 : 19,217.72 = 7,883.07 : x
  2. Step 2: Convert to fraction form
    12,803.82/19,217.72 = 7,883.07/x
  3. Step 3: Cross multiply
    12,803.82x = 19,217.72 × 7,883.07
  4. Step 4: Simplify right side
    12,803.82x = 151,494,632.00
  5. Step 5: Solve for x
    x = 151,494,632.00/12,803.82
  6. Step 6: Final answer
    x = 11,831.99

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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.