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Finding the Fourth Proportional to 15,865.92, 23,800 and 6,003.36

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Solution

The fourth proportional to 15,865.92, 23,800 and 6,003.36 is: 9,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.92 : 23,800 = 6,003.36 : x
  2. Step 2: Convert to fraction form
    15,865.92/23,800 = 6,003.36/x
  3. Step 3: Cross multiply
    15,865.92x = 23,800 × 6,003.36
  4. Step 4: Simplify right side
    15,865.92x = 142,879,968
  5. Step 5: Solve for x
    x = 142,879,968/15,865.92
  6. Step 6: Final answer
    x = 9,005.46

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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.