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Finding the Fourth Proportional to 16,538.17, 22,824.67 and 9,464.44

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Solution

The fourth proportional to 16,538.17, 22,824.67 and 9,464.44 is: 13,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.17 : 22,824.67 = 9,464.44 : x
  2. Step 2: Convert to fraction form
    16,538.17/22,824.67 = 9,464.44/x
  3. Step 3: Cross multiply
    16,538.17x = 22,824.67 × 9,464.44
  4. Step 4: Simplify right side
    16,538.17x = 216,022,639.01
  5. Step 5: Solve for x
    x = 216,022,639.01/16,538.17
  6. Step 6: Final answer
    x = 13,062.07

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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.