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Finding the Fourth Proportional to 16,434.26, 24,633.62 and 6,562.69

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Solution

The fourth proportional to 16,434.26, 24,633.62 and 6,562.69 is: 9,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.26 : 24,633.62 = 6,562.69 : x
  2. Step 2: Convert to fraction form
    16,434.26/24,633.62 = 6,562.69/x
  3. Step 3: Cross multiply
    16,434.26x = 24,633.62 × 6,562.69
  4. Step 4: Simplify right side
    16,434.26x = 161,662,723.39
  5. Step 5: Solve for x
    x = 161,662,723.39/16,434.26
  6. Step 6: Final answer
    x = 9,836.93

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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.