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Finding the Fourth Proportional to 16,182.15, 22,328.82 and 9,107.19

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Solution

The fourth proportional to 16,182.15, 22,328.82 and 9,107.19 is: 12,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.15 : 22,328.82 = 9,107.19 : x
  2. Step 2: Convert to fraction form
    16,182.15/22,328.82 = 9,107.19/x
  3. Step 3: Cross multiply
    16,182.15x = 22,328.82 × 9,107.19
  4. Step 4: Simplify right side
    16,182.15x = 203,352,806.22
  5. Step 5: Solve for x
    x = 203,352,806.22/16,182.15
  6. Step 6: Final answer
    x = 12,566.49

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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.