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Finding the Fourth Proportional to 12,641.32, 18,946.57 and 8,944.61

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Solution

The fourth proportional to 12,641.32, 18,946.57 and 8,944.61 is: 13,406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.32 : 18,946.57 = 8,944.61 : x
  2. Step 2: Convert to fraction form
    12,641.32/18,946.57 = 8,944.61/x
  3. Step 3: Cross multiply
    12,641.32x = 18,946.57 × 8,944.61
  4. Step 4: Simplify right side
    12,641.32x = 169,469,679.49
  5. Step 5: Solve for x
    x = 169,469,679.49/12,641.32
  6. Step 6: Final answer
    x = 13,406.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.