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Finding the Fourth Proportional to 16,536.96, 22,754.32 and 16,143.30

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Solution

The fourth proportional to 16,536.96, 22,754.32 and 16,143.30 is: 22,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.96 : 22,754.32 = 16,143.30 : x
  2. Step 2: Convert to fraction form
    16,536.96/22,754.32 = 16,143.30/x
  3. Step 3: Cross multiply
    16,536.96x = 22,754.32 × 16,143.30
  4. Step 4: Simplify right side
    16,536.96x = 367,329,773.70
  5. Step 5: Solve for x
    x = 367,329,773.70/16,536.96
  6. Step 6: Final answer
    x = 22,212.65

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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.