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Finding the Fourth Proportional to 15,773.82, 23,662.02 and 5,243.46

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Solution

The fourth proportional to 15,773.82, 23,662.02 and 5,243.46 is: 7,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.82 : 23,662.02 = 5,243.46 : x
  2. Step 2: Convert to fraction form
    15,773.82/23,662.02 = 5,243.46/x
  3. Step 3: Cross multiply
    15,773.82x = 23,662.02 × 5,243.46
  4. Step 4: Simplify right side
    15,773.82x = 124,070,855.39
  5. Step 5: Solve for x
    x = 124,070,855.39/15,773.82
  6. Step 6: Final answer
    x = 7,865.62

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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.