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Finding the Fourth Proportional to 16,216.14, 22,375.11 and 9,924.06

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Solution

The fourth proportional to 16,216.14, 22,375.11 and 9,924.06 is: 13,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.14 : 22,375.11 = 9,924.06 : x
  2. Step 2: Convert to fraction form
    16,216.14/22,375.11 = 9,924.06/x
  3. Step 3: Cross multiply
    16,216.14x = 22,375.11 × 9,924.06
  4. Step 4: Simplify right side
    16,216.14x = 222,051,934.15
  5. Step 5: Solve for x
    x = 222,051,934.15/16,216.14
  6. Step 6: Final answer
    x = 13,693.27

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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.