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Finding the Fourth Proportional to 16,160.40, 22,302.59 and 9,086.87

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Solution

The fourth proportional to 16,160.40, 22,302.59 and 9,086.87 is: 12,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.40 : 22,302.59 = 9,086.87 : x
  2. Step 2: Convert to fraction form
    16,160.40/22,302.59 = 9,086.87/x
  3. Step 3: Cross multiply
    16,160.40x = 22,302.59 × 9,086.87
  4. Step 4: Simplify right side
    16,160.40x = 202,660,579.05
  5. Step 5: Solve for x
    x = 202,660,579.05/16,160.40
  6. Step 6: Final answer
    x = 12,540.57

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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.