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Finding the Fourth Proportional to 14,004.38, 21,006.42 and 5,682.42

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Solution

The fourth proportional to 14,004.38, 21,006.42 and 5,682.42 is: 8,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.38 : 21,006.42 = 5,682.42 : x
  2. Step 2: Convert to fraction form
    14,004.38/21,006.42 = 5,682.42/x
  3. Step 3: Cross multiply
    14,004.38x = 21,006.42 × 5,682.42
  4. Step 4: Simplify right side
    14,004.38x = 119,367,301.14
  5. Step 5: Solve for x
    x = 119,367,301.14/14,004.38
  6. Step 6: Final answer
    x = 8,523.57

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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.