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Finding the Fourth Proportional to 16,544.82, 22,832.36 and 9,473.52

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Solution

The fourth proportional to 16,544.82, 22,832.36 and 9,473.52 is: 13,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.82 : 22,832.36 = 9,473.52 : x
  2. Step 2: Convert to fraction form
    16,544.82/22,832.36 = 9,473.52/x
  3. Step 3: Cross multiply
    16,544.82x = 22,832.36 × 9,473.52
  4. Step 4: Simplify right side
    16,544.82x = 216,302,819.11
  5. Step 5: Solve for x
    x = 216,302,819.11/16,544.82
  6. Step 6: Final answer
    x = 13,073.75

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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.