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Finding the Fourth Proportional to 12,818.48, 17,684.57 and 8,030.09

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Solution

The fourth proportional to 12,818.48, 17,684.57 and 8,030.09 is: 11,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.48 : 17,684.57 = 8,030.09 : x
  2. Step 2: Convert to fraction form
    12,818.48/17,684.57 = 8,030.09/x
  3. Step 3: Cross multiply
    12,818.48x = 17,684.57 × 8,030.09
  4. Step 4: Simplify right side
    12,818.48x = 142,008,560.14
  5. Step 5: Solve for x
    x = 142,008,560.14/12,818.48
  6. Step 6: Final answer
    x = 11,078.43

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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.