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Finding the Fourth Proportional to 14,027.13, 21,024.54 and 5,698

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Solution

The fourth proportional to 14,027.13, 21,024.54 and 5,698 is: 8,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.13 : 21,024.54 = 5,698 : x
  2. Step 2: Convert to fraction form
    14,027.13/21,024.54 = 5,698/x
  3. Step 3: Cross multiply
    14,027.13x = 21,024.54 × 5,698
  4. Step 4: Simplify right side
    14,027.13x = 119,797,828.92
  5. Step 5: Solve for x
    x = 119,797,828.92/14,027.13
  6. Step 6: Final answer
    x = 8,540.44

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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.