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Finding the Fourth Proportional to 12,182.24, 18,274.80 and 7,803.20

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Solution

The fourth proportional to 12,182.24, 18,274.80 and 7,803.20 is: 11,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.24 : 18,274.80 = 7,803.20 : x
  2. Step 2: Convert to fraction form
    12,182.24/18,274.80 = 7,803.20/x
  3. Step 3: Cross multiply
    12,182.24x = 18,274.80 × 7,803.20
  4. Step 4: Simplify right side
    12,182.24x = 142,601,919.36
  5. Step 5: Solve for x
    x = 142,601,919.36/12,182.24
  6. Step 6: Final answer
    x = 11,705.72

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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.