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Finding the Fourth Proportional to 14,414.24, 21,613.48 and 6,507.47

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Solution

The fourth proportional to 14,414.24, 21,613.48 and 6,507.47 is: 9,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.24 : 21,613.48 = 6,507.47 : x
  2. Step 2: Convert to fraction form
    14,414.24/21,613.48 = 6,507.47/x
  3. Step 3: Cross multiply
    14,414.24x = 21,613.48 × 6,507.47
  4. Step 4: Simplify right side
    14,414.24x = 140,649,147.07
  5. Step 5: Solve for x
    x = 140,649,147.07/14,414.24
  6. Step 6: Final answer
    x = 9,757.65

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