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Finding the Fourth Proportional to 18,311.40, 25,269.66 and 9,927.84

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Solution

The fourth proportional to 18,311.40, 25,269.66 and 9,927.84 is: 13,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311.40 : 25,269.66 = 9,927.84 : x
  2. Step 2: Convert to fraction form
    18,311.40/25,269.66 = 9,927.84/x
  3. Step 3: Cross multiply
    18,311.40x = 25,269.66 × 9,927.84
  4. Step 4: Simplify right side
    18,311.40x = 250,873,141.33
  5. Step 5: Solve for x
    x = 250,873,141.33/18,311.40
  6. Step 6: Final answer
    x = 13,700.38

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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.