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Finding the Fourth Proportional to 12,392.46, 18,588.70 and 10,196.57

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Solution

The fourth proportional to 12,392.46, 18,588.70 and 10,196.57 is: 15,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,392.46 : 18,588.70 = 10,196.57 : x
  2. Step 2: Convert to fraction form
    12,392.46/18,588.70 = 10,196.57/x
  3. Step 3: Cross multiply
    12,392.46x = 18,588.70 × 10,196.57
  4. Step 4: Simplify right side
    12,392.46x = 189,541,027.23
  5. Step 5: Solve for x
    x = 189,541,027.23/12,392.46
  6. Step 6: Final answer
    x = 15,294.87

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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.