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Finding the Fourth Proportional to 16,097.85, 24,141.77 and 7,772.69

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Solution

The fourth proportional to 16,097.85, 24,141.77 and 7,772.69 is: 11,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.85 : 24,141.77 = 7,772.69 : x
  2. Step 2: Convert to fraction form
    16,097.85/24,141.77 = 7,772.69/x
  3. Step 3: Cross multiply
    16,097.85x = 24,141.77 × 7,772.69
  4. Step 4: Simplify right side
    16,097.85x = 187,646,354.12
  5. Step 5: Solve for x
    x = 187,646,354.12/16,097.85
  6. Step 6: Final answer
    x = 11,656.61

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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.