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Finding the Fourth Proportional to 23,022.38, 34,538.02 and 8,981.84

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Solution

The fourth proportional to 23,022.38, 34,538.02 and 8,981.84 is: 13,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022.38 : 34,538.02 = 8,981.84 : x
  2. Step 2: Convert to fraction form
    23,022.38/34,538.02 = 8,981.84/x
  3. Step 3: Cross multiply
    23,022.38x = 34,538.02 × 8,981.84
  4. Step 4: Simplify right side
    23,022.38x = 310,214,969.56
  5. Step 5: Solve for x
    x = 310,214,969.56/23,022.38
  6. Step 6: Final answer
    x = 13,474.50

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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.