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Finding the Fourth Proportional to 14,652.48, 21,981.92 and 6,856.96

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Solution

The fourth proportional to 14,652.48, 21,981.92 and 6,856.96 is: 10,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.48 : 21,981.92 = 6,856.96 : x
  2. Step 2: Convert to fraction form
    14,652.48/21,981.92 = 6,856.96/x
  3. Step 3: Cross multiply
    14,652.48x = 21,981.92 × 6,856.96
  4. Step 4: Simplify right side
    14,652.48x = 150,729,146.16
  5. Step 5: Solve for x
    x = 150,729,146.16/14,652.48
  6. Step 6: Final answer
    x = 10,286.94

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Why These Related Problems?

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