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Finding the Fourth Proportional to 23,594.77, 35,392.44 and 8,013.61

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Solution

The fourth proportional to 23,594.77, 35,392.44 and 8,013.61 is: 12,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594.77 : 35,392.44 = 8,013.61 : x
  2. Step 2: Convert to fraction form
    23,594.77/35,392.44 = 8,013.61/x
  3. Step 3: Cross multiply
    23,594.77x = 35,392.44 × 8,013.61
  4. Step 4: Simplify right side
    23,594.77x = 283,621,171.04
  5. Step 5: Solve for x
    x = 283,621,171.04/23,594.77
  6. Step 6: Final answer
    x = 12,020.51

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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.