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Finding the Fourth Proportional to 23,684.54, 35,519.41 and 7,885.88

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Solution

The fourth proportional to 23,684.54, 35,519.41 and 7,885.88 is: 11,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.54 : 35,519.41 = 7,885.88 : x
  2. Step 2: Convert to fraction form
    23,684.54/35,519.41 = 7,885.88/x
  3. Step 3: Cross multiply
    23,684.54x = 35,519.41 × 7,885.88
  4. Step 4: Simplify right side
    23,684.54x = 280,101,765.50
  5. Step 5: Solve for x
    x = 280,101,765.50/23,684.54
  6. Step 6: Final answer
    x = 11,826.35

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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.