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Finding the Fourth Proportional to 15,380, 23,067.66 and 4,285.52

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Solution

The fourth proportional to 15,380, 23,067.66 and 4,285.52 is: 6,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380 : 23,067.66 = 4,285.52 : x
  2. Step 2: Convert to fraction form
    15,380/23,067.66 = 4,285.52/x
  3. Step 3: Cross multiply
    15,380x = 23,067.66 × 4,285.52
  4. Step 4: Simplify right side
    15,380x = 98,856,918.28
  5. Step 5: Solve for x
    x = 98,856,918.28/15,380
  6. Step 6: Final answer
    x = 6,427.63

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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.