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Finding the Fourth Proportional to 16,491.87, 24,740.24 and 4,806

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Solution

The fourth proportional to 16,491.87, 24,740.24 and 4,806 is: 7,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491.87 : 24,740.24 = 4,806 : x
  2. Step 2: Convert to fraction form
    16,491.87/24,740.24 = 4,806/x
  3. Step 3: Cross multiply
    16,491.87x = 24,740.24 × 4,806
  4. Step 4: Simplify right side
    16,491.87x = 118,901,569.41
  5. Step 5: Solve for x
    x = 118,901,569.41/16,491.87
  6. Step 6: Final answer
    x = 7,209.71

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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.