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Finding the Fourth Proportional to 23,339.54, 35,022.63 and 8,546.50

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Solution

The fourth proportional to 23,339.54, 35,022.63 and 8,546.50 is: 12,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,339.54 : 35,022.63 = 8,546.50 : x
  2. Step 2: Convert to fraction form
    23,339.54/35,022.63 = 8,546.50/x
  3. Step 3: Cross multiply
    23,339.54x = 35,022.63 × 8,546.50
  4. Step 4: Simplify right side
    23,339.54x = 299,320,907.30
  5. Step 5: Solve for x
    x = 299,320,907.30/23,339.54
  6. Step 6: Final answer
    x = 12,824.63

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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.