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Finding the Fourth Proportional to 16,160.16, 22,300.92 and 9,086.64

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Solution

The fourth proportional to 16,160.16, 22,300.92 and 9,086.64 is: 12,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.16 : 22,300.92 = 9,086.64 : x
  2. Step 2: Convert to fraction form
    16,160.16/22,300.92 = 9,086.64/x
  3. Step 3: Cross multiply
    16,160.16x = 22,300.92 × 9,086.64
  4. Step 4: Simplify right side
    16,160.16x = 202,640,431.71
  5. Step 5: Solve for x
    x = 202,640,431.71/16,160.16
  6. Step 6: Final answer
    x = 12,539.51

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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.