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Finding the Fourth Proportional to 16,182.23, 22,331.79 and 9,808.61

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Solution

The fourth proportional to 16,182.23, 22,331.79 and 9,808.61 is: 13,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.23 : 22,331.79 = 9,808.61 : x
  2. Step 2: Convert to fraction form
    16,182.23/22,331.79 = 9,808.61/x
  3. Step 3: Cross multiply
    16,182.23x = 22,331.79 × 9,808.61
  4. Step 4: Simplify right side
    16,182.23x = 219,043,707.05
  5. Step 5: Solve for x
    x = 219,043,707.05/16,182.23
  6. Step 6: Final answer
    x = 13,536.07

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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.