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Finding the Fourth Proportional to 12,378.45, 17,081.49 and 7,343.13

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Solution

The fourth proportional to 12,378.45, 17,081.49 and 7,343.13 is: 10,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.45 : 17,081.49 = 7,343.13 : x
  2. Step 2: Convert to fraction form
    12,378.45/17,081.49 = 7,343.13/x
  3. Step 3: Cross multiply
    12,378.45x = 17,081.49 × 7,343.13
  4. Step 4: Simplify right side
    12,378.45x = 125,431,601.66
  5. Step 5: Solve for x
    x = 125,431,601.66/12,378.45
  6. Step 6: Final answer
    x = 10,133.06

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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.