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Finding the Fourth Proportional to 16,097.76, 24,151.50 and 10,853.82

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Solution

The fourth proportional to 16,097.76, 24,151.50 and 10,853.82 is: 16,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.76 : 24,151.50 = 10,853.82 : x
  2. Step 2: Convert to fraction form
    16,097.76/24,151.50 = 10,853.82/x
  3. Step 3: Cross multiply
    16,097.76x = 24,151.50 × 10,853.82
  4. Step 4: Simplify right side
    16,097.76x = 262,136,033.73
  5. Step 5: Solve for x
    x = 262,136,033.73/16,097.76
  6. Step 6: Final answer
    x = 16,284.01

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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.