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Finding the Fourth Proportional to 16,384.59, 24,576.78 and 4,697.85

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Solution

The fourth proportional to 16,384.59, 24,576.78 and 4,697.85 is: 7,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.59 : 24,576.78 = 4,697.85 : x
  2. Step 2: Convert to fraction form
    16,384.59/24,576.78 = 4,697.85/x
  3. Step 3: Cross multiply
    16,384.59x = 24,576.78 × 4,697.85
  4. Step 4: Simplify right side
    16,384.59x = 115,458,025.92
  5. Step 5: Solve for x
    x = 115,458,025.92/16,384.59
  6. Step 6: Final answer
    x = 7,046.74

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Why These Related Problems?

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