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Finding the Fourth Proportional to 16,221.26, 24,328.22 and 7,447.75

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Solution

The fourth proportional to 16,221.26, 24,328.22 and 7,447.75 is: 11,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.26 : 24,328.22 = 7,447.75 : x
  2. Step 2: Convert to fraction form
    16,221.26/24,328.22 = 7,447.75/x
  3. Step 3: Cross multiply
    16,221.26x = 24,328.22 × 7,447.75
  4. Step 4: Simplify right side
    16,221.26x = 181,190,402.45
  5. Step 5: Solve for x
    x = 181,190,402.45/16,221.26
  6. Step 6: Final answer
    x = 11,169.93

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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.