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Finding the Fourth Proportional to 14,464.20, 21,692 and 6,144.14

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Solution

The fourth proportional to 14,464.20, 21,692 and 6,144.14 is: 9,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.20 : 21,692 = 6,144.14 : x
  2. Step 2: Convert to fraction form
    14,464.20/21,692 = 6,144.14/x
  3. Step 3: Cross multiply
    14,464.20x = 21,692 × 6,144.14
  4. Step 4: Simplify right side
    14,464.20x = 133,278,684.88
  5. Step 5: Solve for x
    x = 133,278,684.88/14,464.20
  6. Step 6: Final answer
    x = 9,214.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.