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Finding the Fourth Proportional to 16,821.72, 23,213.98 and 9,752.24

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Solution

The fourth proportional to 16,821.72, 23,213.98 and 9,752.24 is: 13,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.72 : 23,213.98 = 9,752.24 : x
  2. Step 2: Convert to fraction form
    16,821.72/23,213.98 = 9,752.24/x
  3. Step 3: Cross multiply
    16,821.72x = 23,213.98 × 9,752.24
  4. Step 4: Simplify right side
    16,821.72x = 226,388,304.32
  5. Step 5: Solve for x
    x = 226,388,304.32/16,821.72
  6. Step 6: Final answer
    x = 13,458.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.