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Finding the Fourth Proportional to 16,369.83, 22,591.05 and 9,296.25

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Solution

The fourth proportional to 16,369.83, 22,591.05 and 9,296.25 is: 12,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.83 : 22,591.05 = 9,296.25 : x
  2. Step 2: Convert to fraction form
    16,369.83/22,591.05 = 9,296.25/x
  3. Step 3: Cross multiply
    16,369.83x = 22,591.05 × 9,296.25
  4. Step 4: Simplify right side
    16,369.83x = 210,012,048.56
  5. Step 5: Solve for x
    x = 210,012,048.56/16,369.83
  6. Step 6: Final answer
    x = 12,829.21

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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.