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Finding the Fourth Proportional to 16,511.16, 22,786.98 and 9,436.23

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Solution

The fourth proportional to 16,511.16, 22,786.98 and 9,436.23 is: 13,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511.16 : 22,786.98 = 9,436.23 : x
  2. Step 2: Convert to fraction form
    16,511.16/22,786.98 = 9,436.23/x
  3. Step 3: Cross multiply
    16,511.16x = 22,786.98 × 9,436.23
  4. Step 4: Simplify right side
    16,511.16x = 215,023,184.29
  5. Step 5: Solve for x
    x = 215,023,184.29/16,511.16
  6. Step 6: Final answer
    x = 13,022.90

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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.