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Finding the Fourth Proportional to 16,237.26, 22,407.84 and 9,163.80

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Solution

The fourth proportional to 16,237.26, 22,407.84 and 9,163.80 is: 12,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.26 : 22,407.84 = 9,163.80 : x
  2. Step 2: Convert to fraction form
    16,237.26/22,407.84 = 9,163.80/x
  3. Step 3: Cross multiply
    16,237.26x = 22,407.84 × 9,163.80
  4. Step 4: Simplify right side
    16,237.26x = 205,340,964.19
  5. Step 5: Solve for x
    x = 205,340,964.19/16,237.26
  6. Step 6: Final answer
    x = 12,646.28

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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.