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Finding the Fourth Proportional to 12,815.74, 17,684.76 and 8,348.05

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Solution

The fourth proportional to 12,815.74, 17,684.76 and 8,348.05 is: 11,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.74 : 17,684.76 = 8,348.05 : x
  2. Step 2: Convert to fraction form
    12,815.74/17,684.76 = 8,348.05/x
  3. Step 3: Cross multiply
    12,815.74x = 17,684.76 × 8,348.05
  4. Step 4: Simplify right side
    12,815.74x = 147,633,260.72
  5. Step 5: Solve for x
    x = 147,633,260.72/12,815.74
  6. Step 6: Final answer
    x = 11,519.68

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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.