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Finding the Fourth Proportional to 12,818.46, 17,690.69 and 7,781.52

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Solution

The fourth proportional to 12,818.46, 17,690.69 and 7,781.52 is: 10,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.46 : 17,690.69 = 7,781.52 : x
  2. Step 2: Convert to fraction form
    12,818.46/17,690.69 = 7,781.52/x
  3. Step 3: Cross multiply
    12,818.46x = 17,690.69 × 7,781.52
  4. Step 4: Simplify right side
    12,818.46x = 137,660,458.05
  5. Step 5: Solve for x
    x = 137,660,458.05/12,818.46
  6. Step 6: Final answer
    x = 10,739.24

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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.