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Finding the Fourth Proportional to 16,224.90, 22,395.15 and 9,511.98

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Solution

The fourth proportional to 16,224.90, 22,395.15 and 9,511.98 is: 13,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.90 : 22,395.15 = 9,511.98 : x
  2. Step 2: Convert to fraction form
    16,224.90/22,395.15 = 9,511.98/x
  3. Step 3: Cross multiply
    16,224.90x = 22,395.15 × 9,511.98
  4. Step 4: Simplify right side
    16,224.90x = 213,022,218.90
  5. Step 5: Solve for x
    x = 213,022,218.90/16,224.90
  6. Step 6: Final answer
    x = 13,129.34

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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.