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Finding the Fourth Proportional to 15,744, 23,619.84 and 4,800

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Solution

The fourth proportional to 15,744, 23,619.84 and 4,800 is: 7,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 23,619.84 = 4,800 : x
  2. Step 2: Convert to fraction form
    15,744/23,619.84 = 4,800/x
  3. Step 3: Cross multiply
    15,744x = 23,619.84 × 4,800
  4. Step 4: Simplify right side
    15,744x = 113,375,232
  5. Step 5: Solve for x
    x = 113,375,232/15,744
  6. Step 6: Final answer
    x = 7,201.17

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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.