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Finding the Fourth Proportional to 12,844.90, 17,704.74 and 8,594.43

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Solution

The fourth proportional to 12,844.90, 17,704.74 and 8,594.43 is: 11,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.90 : 17,704.74 = 8,594.43 : x
  2. Step 2: Convert to fraction form
    12,844.90/17,704.74 = 8,594.43/x
  3. Step 3: Cross multiply
    12,844.90x = 17,704.74 × 8,594.43
  4. Step 4: Simplify right side
    12,844.90x = 152,162,148.60
  5. Step 5: Solve for x
    x = 152,162,148.60/12,844.90
  6. Step 6: Final answer
    x = 11,846.11

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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.