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Finding the Fourth Proportional to 23,932.57, 35,896.32 and 6,404.17

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Solution

The fourth proportional to 23,932.57, 35,896.32 and 6,404.17 is: 9,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,932.57 : 35,896.32 = 6,404.17 : x
  2. Step 2: Convert to fraction form
    23,932.57/35,896.32 = 6,404.17/x
  3. Step 3: Cross multiply
    23,932.57x = 35,896.32 × 6,404.17
  4. Step 4: Simplify right side
    23,932.57x = 229,886,135.65
  5. Step 5: Solve for x
    x = 229,886,135.65/23,932.57
  6. Step 6: Final answer
    x = 9,605.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.