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Finding the Fourth Proportional to 16,309.57, 22,511.24 and 9,240.16

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Solution

The fourth proportional to 16,309.57, 22,511.24 and 9,240.16 is: 12,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.57 : 22,511.24 = 9,240.16 : x
  2. Step 2: Convert to fraction form
    16,309.57/22,511.24 = 9,240.16/x
  3. Step 3: Cross multiply
    16,309.57x = 22,511.24 × 9,240.16
  4. Step 4: Simplify right side
    16,309.57x = 208,007,459.40
  5. Step 5: Solve for x
    x = 208,007,459.40/16,309.57
  6. Step 6: Final answer
    x = 12,753.71

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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.