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Finding the Fourth Proportional to 14,424.62, 21,624.10 and 5,665.64

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Solution

The fourth proportional to 14,424.62, 21,624.10 and 5,665.64 is: 8,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.62 : 21,624.10 = 5,665.64 : x
  2. Step 2: Convert to fraction form
    14,424.62/21,624.10 = 5,665.64/x
  3. Step 3: Cross multiply
    14,424.62x = 21,624.10 × 5,665.64
  4. Step 4: Simplify right side
    14,424.62x = 122,514,243.64
  5. Step 5: Solve for x
    x = 122,514,243.64/14,424.62
  6. Step 6: Final answer
    x = 8,493.42

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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.