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Finding the Fourth Proportional to 11,814.82, 17,726.55 and 4,024.42

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Solution

The fourth proportional to 11,814.82, 17,726.55 and 4,024.42 is: 6,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.82 : 17,726.55 = 4,024.42 : x
  2. Step 2: Convert to fraction form
    11,814.82/17,726.55 = 4,024.42/x
  3. Step 3: Cross multiply
    11,814.82x = 17,726.55 × 4,024.42
  4. Step 4: Simplify right side
    11,814.82x = 71,339,082.35
  5. Step 5: Solve for x
    x = 71,339,082.35/11,814.82
  6. Step 6: Final answer
    x = 6,038.10

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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.