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Finding the Fourth Proportional to 14,385.66, 21,578.37 and 5,626.68

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Solution

The fourth proportional to 14,385.66, 21,578.37 and 5,626.68 is: 8,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.66 : 21,578.37 = 5,626.68 : x
  2. Step 2: Convert to fraction form
    14,385.66/21,578.37 = 5,626.68/x
  3. Step 3: Cross multiply
    14,385.66x = 21,578.37 × 5,626.68
  4. Step 4: Simplify right side
    14,385.66x = 121,414,582.91
  5. Step 5: Solve for x
    x = 121,414,582.91/14,385.66
  6. Step 6: Final answer
    x = 8,439.97

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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.