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Finding the Fourth Proportional to 14,443.24, 21,668.10 and 5,209.24

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Solution

The fourth proportional to 14,443.24, 21,668.10 and 5,209.24 is: 7,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.24 : 21,668.10 = 5,209.24 : x
  2. Step 2: Convert to fraction form
    14,443.24/21,668.10 = 5,209.24/x
  3. Step 3: Cross multiply
    14,443.24x = 21,668.10 × 5,209.24
  4. Step 4: Simplify right side
    14,443.24x = 112,874,333.24
  5. Step 5: Solve for x
    x = 112,874,333.24/14,443.24
  6. Step 6: Final answer
    x = 7,815.03

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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.