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Finding the Fourth Proportional to 17,218.37, 25,823.28 and 4,737.78

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Solution

The fourth proportional to 17,218.37, 25,823.28 and 4,737.78 is: 7,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,218.37 : 25,823.28 = 4,737.78 : x
  2. Step 2: Convert to fraction form
    17,218.37/25,823.28 = 4,737.78/x
  3. Step 3: Cross multiply
    17,218.37x = 25,823.28 × 4,737.78
  4. Step 4: Simplify right side
    17,218.37x = 122,345,019.52
  5. Step 5: Solve for x
    x = 122,345,019.52/17,218.37
  6. Step 6: Final answer
    x = 7,105.50

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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.