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Finding the Fourth Proportional to 18,214.68, 25,138.14 and 11,145.80

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Solution

The fourth proportional to 18,214.68, 25,138.14 and 11,145.80 is: 15,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.68 : 25,138.14 = 11,145.80 : x
  2. Step 2: Convert to fraction form
    18,214.68/25,138.14 = 11,145.80/x
  3. Step 3: Cross multiply
    18,214.68x = 25,138.14 × 11,145.80
  4. Step 4: Simplify right side
    18,214.68x = 280,184,680.81
  5. Step 5: Solve for x
    x = 280,184,680.81/18,214.68
  6. Step 6: Final answer
    x = 15,382.36

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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.