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Finding the Fourth Proportional to 16,536.69, 24,809.22 and 7,174.51

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Solution

The fourth proportional to 16,536.69, 24,809.22 and 7,174.51 is: 10,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.69 : 24,809.22 = 7,174.51 : x
  2. Step 2: Convert to fraction form
    16,536.69/24,809.22 = 7,174.51/x
  3. Step 3: Cross multiply
    16,536.69x = 24,809.22 × 7,174.51
  4. Step 4: Simplify right side
    16,536.69x = 177,993,934.96
  5. Step 5: Solve for x
    x = 177,993,934.96/16,536.69
  6. Step 6: Final answer
    x = 10,763.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.