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Finding the Fourth Proportional to 17,134.50, 25,701.78 and 4,822.50

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Solution

The fourth proportional to 17,134.50, 25,701.78 and 4,822.50 is: 7,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.50 : 25,701.78 = 4,822.50 : x
  2. Step 2: Convert to fraction form
    17,134.50/25,701.78 = 4,822.50/x
  3. Step 3: Cross multiply
    17,134.50x = 25,701.78 × 4,822.50
  4. Step 4: Simplify right side
    17,134.50x = 123,946,834.05
  5. Step 5: Solve for x
    x = 123,946,834.05/17,134.50
  6. Step 6: Final answer
    x = 7,233.76

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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.