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Finding the Fourth Proportional to 23,538, 35,316.78 and 14,660.76

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Solution

The fourth proportional to 23,538, 35,316.78 and 14,660.76 is: 21,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538 : 35,316.78 = 14,660.76 : x
  2. Step 2: Convert to fraction form
    23,538/35,316.78 = 14,660.76/x
  3. Step 3: Cross multiply
    23,538x = 35,316.78 × 14,660.76
  4. Step 4: Simplify right side
    23,538x = 517,770,835.55
  5. Step 5: Solve for x
    x = 517,770,835.55/23,538
  6. Step 6: Final answer
    x = 21,997.23

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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.