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Finding the Fourth Proportional to 16,160.64, 22,299.87 and 9,086.91

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Solution

The fourth proportional to 16,160.64, 22,299.87 and 9,086.91 is: 12,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.64 : 22,299.87 = 9,086.91 : x
  2. Step 2: Convert to fraction form
    16,160.64/22,299.87 = 9,086.91/x
  3. Step 3: Cross multiply
    16,160.64x = 22,299.87 × 9,086.91
  4. Step 4: Simplify right side
    16,160.64x = 202,636,911.70
  5. Step 5: Solve for x
    x = 202,636,911.70/16,160.64
  6. Step 6: Final answer
    x = 12,538.92

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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.