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Finding the Fourth Proportional to 16,232.25, 24,329.93 and 6,866.43

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Solution

The fourth proportional to 16,232.25, 24,329.93 and 6,866.43 is: 10,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.25 : 24,329.93 = 6,866.43 : x
  2. Step 2: Convert to fraction form
    16,232.25/24,329.93 = 6,866.43/x
  3. Step 3: Cross multiply
    16,232.25x = 24,329.93 × 6,866.43
  4. Step 4: Simplify right side
    16,232.25x = 167,059,635.68
  5. Step 5: Solve for x
    x = 167,059,635.68/16,232.25
  6. Step 6: Final answer
    x = 10,291.83

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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.