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Finding the Fourth Proportional to 12,798.24, 17,660.97 and 7,419.84

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Solution

The fourth proportional to 12,798.24, 17,660.97 and 7,419.84 is: 10,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.24 : 17,660.97 = 7,419.84 : x
  2. Step 2: Convert to fraction form
    12,798.24/17,660.97 = 7,419.84/x
  3. Step 3: Cross multiply
    12,798.24x = 17,660.97 × 7,419.84
  4. Step 4: Simplify right side
    12,798.24x = 131,041,571.64
  5. Step 5: Solve for x
    x = 131,041,571.64/12,798.24
  6. Step 6: Final answer
    x = 10,239.03

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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.