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Finding the Fourth Proportional to 11,814.74, 17,726.16 and 4,029.02

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Solution

The fourth proportional to 11,814.74, 17,726.16 and 4,029.02 is: 6,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.74 : 17,726.16 = 4,029.02 : x
  2. Step 2: Convert to fraction form
    11,814.74/17,726.16 = 4,029.02/x
  3. Step 3: Cross multiply
    11,814.74x = 17,726.16 × 4,029.02
  4. Step 4: Simplify right side
    11,814.74x = 71,419,053.16
  5. Step 5: Solve for x
    x = 71,419,053.16/11,814.74
  6. Step 6: Final answer
    x = 6,044.91

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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.