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Finding the Fourth Proportional to 16,097.78, 24,142.97 and 4,411.91

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Solution

The fourth proportional to 16,097.78, 24,142.97 and 4,411.91 is: 6,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.78 : 24,142.97 = 4,411.91 : x
  2. Step 2: Convert to fraction form
    16,097.78/24,142.97 = 4,411.91/x
  3. Step 3: Cross multiply
    16,097.78x = 24,142.97 × 4,411.91
  4. Step 4: Simplify right side
    16,097.78x = 106,516,682.16
  5. Step 5: Solve for x
    x = 106,516,682.16/16,097.78
  6. Step 6: Final answer
    x = 6,616.85

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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.