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Finding the Fourth Proportional to 23,456.32, 35,178.32 and 6,811.88

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Solution

The fourth proportional to 23,456.32, 35,178.32 and 6,811.88 is: 10,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.32 : 35,178.32 = 6,811.88 : x
  2. Step 2: Convert to fraction form
    23,456.32/35,178.32 = 6,811.88/x
  3. Step 3: Cross multiply
    23,456.32x = 35,178.32 × 6,811.88
  4. Step 4: Simplify right side
    23,456.32x = 239,630,494.44
  5. Step 5: Solve for x
    x = 239,630,494.44/23,456.32
  6. Step 6: Final answer
    x = 10,216.03

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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.