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Finding the Fourth Proportional to 16,182.81, 22,331.10 and 9,012.51

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Solution

The fourth proportional to 16,182.81, 22,331.10 and 9,012.51 is: 12,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.81 : 22,331.10 = 9,012.51 : x
  2. Step 2: Convert to fraction form
    16,182.81/22,331.10 = 9,012.51/x
  3. Step 3: Cross multiply
    16,182.81x = 22,331.10 × 9,012.51
  4. Step 4: Simplify right side
    16,182.81x = 201,259,262.06
  5. Step 5: Solve for x
    x = 201,259,262.06/16,182.81
  6. Step 6: Final answer
    x = 12,436.61

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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.