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Finding the Fourth Proportional to 23,654.46, 35,481.82 and 7,014.63

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Solution

The fourth proportional to 23,654.46, 35,481.82 and 7,014.63 is: 10,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.46 : 35,481.82 = 7,014.63 : x
  2. Step 2: Convert to fraction form
    23,654.46/35,481.82 = 7,014.63/x
  3. Step 3: Cross multiply
    23,654.46x = 35,481.82 × 7,014.63
  4. Step 4: Simplify right side
    23,654.46x = 248,891,688.05
  5. Step 5: Solve for x
    x = 248,891,688.05/23,654.46
  6. Step 6: Final answer
    x = 10,521.98

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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.