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Finding the Fourth Proportional to 14,384.96, 21,589.81 and 5,626.02

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Solution

The fourth proportional to 14,384.96, 21,589.81 and 5,626.02 is: 8,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.96 : 21,589.81 = 5,626.02 : x
  2. Step 2: Convert to fraction form
    14,384.96/21,589.81 = 5,626.02/x
  3. Step 3: Cross multiply
    14,384.96x = 21,589.81 × 5,626.02
  4. Step 4: Simplify right side
    14,384.96x = 121,464,769.75
  5. Step 5: Solve for x
    x = 121,464,769.75/14,384.96
  6. Step 6: Final answer
    x = 8,443.87

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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.