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Finding the Fourth Proportional to 14,148.62, 21,205.47 and 5,823.44

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Solution

The fourth proportional to 14,148.62, 21,205.47 and 5,823.44 is: 8,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.62 : 21,205.47 = 5,823.44 : x
  2. Step 2: Convert to fraction form
    14,148.62/21,205.47 = 5,823.44/x
  3. Step 3: Cross multiply
    14,148.62x = 21,205.47 × 5,823.44
  4. Step 4: Simplify right side
    14,148.62x = 123,488,782.22
  5. Step 5: Solve for x
    x = 123,488,782.22/14,148.62
  6. Step 6: Final answer
    x = 8,727.97

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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.