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Finding the Fourth Proportional to 23,479.34, 35,224.23 and 7,896.50

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Solution

The fourth proportional to 23,479.34, 35,224.23 and 7,896.50 is: 11,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,479.34 : 35,224.23 = 7,896.50 : x
  2. Step 2: Convert to fraction form
    23,479.34/35,224.23 = 7,896.50/x
  3. Step 3: Cross multiply
    23,479.34x = 35,224.23 × 7,896.50
  4. Step 4: Simplify right side
    23,479.34x = 278,148,132.20
  5. Step 5: Solve for x
    x = 278,148,132.20/23,479.34
  6. Step 6: Final answer
    x = 11,846.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.