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Finding the Fourth Proportional to 12,846.75, 17,707.32 and 8,596.31

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Solution

The fourth proportional to 12,846.75, 17,707.32 and 8,596.31 is: 11,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.75 : 17,707.32 = 8,596.31 : x
  2. Step 2: Convert to fraction form
    12,846.75/17,707.32 = 8,596.31/x
  3. Step 3: Cross multiply
    12,846.75x = 17,707.32 × 8,596.31
  4. Step 4: Simplify right side
    12,846.75x = 152,217,523.45
  5. Step 5: Solve for x
    x = 152,217,523.45/12,846.75
  6. Step 6: Final answer
    x = 11,848.72

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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.