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Finding the Fourth Proportional to 18,365.50, 25,344.48 and 9,982

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Solution

The fourth proportional to 18,365.50, 25,344.48 and 9,982 is: 13,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,365.50 : 25,344.48 = 9,982 : x
  2. Step 2: Convert to fraction form
    18,365.50/25,344.48 = 9,982/x
  3. Step 3: Cross multiply
    18,365.50x = 25,344.48 × 9,982
  4. Step 4: Simplify right side
    18,365.50x = 252,988,599.36
  5. Step 5: Solve for x
    x = 252,988,599.36/18,365.50
  6. Step 6: Final answer
    x = 13,775.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.