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Finding the Fourth Proportional to 12,818.64, 17,685.36 and 7,441.68

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Solution

The fourth proportional to 12,818.64, 17,685.36 and 7,441.68 is: 10,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.64 : 17,685.36 = 7,441.68 : x
  2. Step 2: Convert to fraction form
    12,818.64/17,685.36 = 7,441.68/x
  3. Step 3: Cross multiply
    12,818.64x = 17,685.36 × 7,441.68
  4. Step 4: Simplify right side
    12,818.64x = 131,608,789.80
  5. Step 5: Solve for x
    x = 131,608,789.80/12,818.64
  6. Step 6: Final answer
    x = 10,266.99

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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.