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Finding the Fourth Proportional to 23,930.69, 35,896.03 and 6,400.07

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Solution

The fourth proportional to 23,930.69, 35,896.03 and 6,400.07 is: 9,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.69 : 35,896.03 = 6,400.07 : x
  2. Step 2: Convert to fraction form
    23,930.69/35,896.03 = 6,400.07/x
  3. Step 3: Cross multiply
    23,930.69x = 35,896.03 × 6,400.07
  4. Step 4: Simplify right side
    23,930.69x = 229,737,012.55
  5. Step 5: Solve for x
    x = 229,737,012.55/23,930.69
  6. Step 6: Final answer
    x = 9,600.10

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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.