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Finding the Fourth Proportional to 16,160.64, 24,218.86 and 12,208.66

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Solution

The fourth proportional to 16,160.64, 24,218.86 and 12,208.66 is: 18,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.64 : 24,218.86 = 12,208.66 : x
  2. Step 2: Convert to fraction form
    16,160.64/24,218.86 = 12,208.66/x
  3. Step 3: Cross multiply
    16,160.64x = 24,218.86 × 12,208.66
  4. Step 4: Simplify right side
    16,160.64x = 295,679,827.33
  5. Step 5: Solve for x
    x = 295,679,827.33/16,160.64
  6. Step 6: Final answer
    x = 18,296.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.