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Finding the Fourth Proportional to 23,651.83, 35,478.66 and 8,069.46

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Solution

The fourth proportional to 23,651.83, 35,478.66 and 8,069.46 is: 12,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651.83 : 35,478.66 = 8,069.46 : x
  2. Step 2: Convert to fraction form
    23,651.83/35,478.66 = 8,069.46/x
  3. Step 3: Cross multiply
    23,651.83x = 35,478.66 × 8,069.46
  4. Step 4: Simplify right side
    23,651.83x = 286,293,627.72
  5. Step 5: Solve for x
    x = 286,293,627.72/23,651.83
  6. Step 6: Final answer
    x = 12,104.50

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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.