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Finding the Fourth Proportional to 14,443.62, 21,665.44 and 5,209.62

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Solution

The fourth proportional to 14,443.62, 21,665.44 and 5,209.62 is: 7,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.62 : 21,665.44 = 5,209.62 : x
  2. Step 2: Convert to fraction form
    14,443.62/21,665.44 = 5,209.62/x
  3. Step 3: Cross multiply
    14,443.62x = 21,665.44 × 5,209.62
  4. Step 4: Simplify right side
    14,443.62x = 112,868,709.53
  5. Step 5: Solve for x
    x = 112,868,709.53/14,443.62
  6. Step 6: Final answer
    x = 7,814.43

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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.