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Finding the Fourth Proportional to 18,236.50, 25,166.38 and 9,853

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Solution

The fourth proportional to 18,236.50, 25,166.38 and 9,853 is: 13,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,236.50 : 25,166.38 = 9,853 : x
  2. Step 2: Convert to fraction form
    18,236.50/25,166.38 = 9,853/x
  3. Step 3: Cross multiply
    18,236.50x = 25,166.38 × 9,853
  4. Step 4: Simplify right side
    18,236.50x = 247,964,342.14
  5. Step 5: Solve for x
    x = 247,964,342.14/18,236.50
  6. Step 6: Final answer
    x = 13,597.15

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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.