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Finding the Fourth Proportional to 17,235.78, 25,857.96 and 4,923.78

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Solution

The fourth proportional to 17,235.78, 25,857.96 and 4,923.78 is: 7,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.78 : 25,857.96 = 4,923.78 : x
  2. Step 2: Convert to fraction form
    17,235.78/25,857.96 = 4,923.78/x
  3. Step 3: Cross multiply
    17,235.78x = 25,857.96 × 4,923.78
  4. Step 4: Simplify right side
    17,235.78x = 127,318,906.29
  5. Step 5: Solve for x
    x = 127,318,906.29/17,235.78
  6. Step 6: Final answer
    x = 7,386.90

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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.