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Finding the Fourth Proportional to 23,840.52, 35,752.68 and 8,254.50

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Solution

The fourth proportional to 23,840.52, 35,752.68 and 8,254.50 is: 12,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.52 : 35,752.68 = 8,254.50 : x
  2. Step 2: Convert to fraction form
    23,840.52/35,752.68 = 8,254.50/x
  3. Step 3: Cross multiply
    23,840.52x = 35,752.68 × 8,254.50
  4. Step 4: Simplify right side
    23,840.52x = 295,120,497.06
  5. Step 5: Solve for x
    x = 295,120,497.06/23,840.52
  6. Step 6: Final answer
    x = 12,378.95

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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.