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Finding the Fourth Proportional to 15,838.28, 23,765.34 and 7,079.48

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Solution

The fourth proportional to 15,838.28, 23,765.34 and 7,079.48 is: 10,622.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.28 : 23,765.34 = 7,079.48 : x
  2. Step 2: Convert to fraction form
    15,838.28/23,765.34 = 7,079.48/x
  3. Step 3: Cross multiply
    15,838.28x = 23,765.34 × 7,079.48
  4. Step 4: Simplify right side
    15,838.28x = 168,246,249.22
  5. Step 5: Solve for x
    x = 168,246,249.22/15,838.28
  6. Step 6: Final answer
    x = 10,622.76

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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.