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Finding the Fourth Proportional to 14,682.56, 20,278.76 and 9,669.19

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Solution

The fourth proportional to 14,682.56, 20,278.76 and 9,669.19 is: 13,354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.56 : 20,278.76 = 9,669.19 : x
  2. Step 2: Convert to fraction form
    14,682.56/20,278.76 = 9,669.19/x
  3. Step 3: Cross multiply
    14,682.56x = 20,278.76 × 9,669.19
  4. Step 4: Simplify right side
    14,682.56x = 196,079,122.38
  5. Step 5: Solve for x
    x = 196,079,122.38/14,682.56
  6. Step 6: Final answer
    x = 13,354.56

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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.