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Finding the Fourth Proportional to 12,856.32, 17,737.79 and 8,378.44

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Solution

The fourth proportional to 12,856.32, 17,737.79 and 8,378.44 is: 11,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.32 : 17,737.79 = 8,378.44 : x
  2. Step 2: Convert to fraction form
    12,856.32/17,737.79 = 8,378.44/x
  3. Step 3: Cross multiply
    12,856.32x = 17,737.79 × 8,378.44
  4. Step 4: Simplify right side
    12,856.32x = 148,614,923.01
  5. Step 5: Solve for x
    x = 148,614,923.01/12,856.32
  6. Step 6: Final answer
    x = 11,559.68

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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.