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Finding the Fourth Proportional to 18,378.64, 25,362.69 and 9,995.14

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Solution

The fourth proportional to 18,378.64, 25,362.69 and 9,995.14 is: 13,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378.64 : 25,362.69 = 9,995.14 : x
  2. Step 2: Convert to fraction form
    18,378.64/25,362.69 = 9,995.14/x
  3. Step 3: Cross multiply
    18,378.64x = 25,362.69 × 9,995.14
  4. Step 4: Simplify right side
    18,378.64x = 253,503,637.33
  5. Step 5: Solve for x
    x = 253,503,637.33/18,378.64
  6. Step 6: Final answer
    x = 13,793.38

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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.