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Finding the Fourth Proportional to 15,384, 23,078.23 and 4,850.46

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Solution

The fourth proportional to 15,384, 23,078.23 and 4,850.46 is: 7,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384 : 23,078.23 = 4,850.46 : x
  2. Step 2: Convert to fraction form
    15,384/23,078.23 = 4,850.46/x
  3. Step 3: Cross multiply
    15,384x = 23,078.23 × 4,850.46
  4. Step 4: Simplify right side
    15,384x = 111,940,019.36
  5. Step 5: Solve for x
    x = 111,940,019.36/15,384
  6. Step 6: Final answer
    x = 7,276.39

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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.