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Finding the Fourth Proportional to 16,152.38, 24,227.19 and 4,464.50

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Solution

The fourth proportional to 16,152.38, 24,227.19 and 4,464.50 is: 6,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.38 : 24,227.19 = 4,464.50 : x
  2. Step 2: Convert to fraction form
    16,152.38/24,227.19 = 4,464.50/x
  3. Step 3: Cross multiply
    16,152.38x = 24,227.19 × 4,464.50
  4. Step 4: Simplify right side
    16,152.38x = 108,162,289.76
  5. Step 5: Solve for x
    x = 108,162,289.76/16,152.38
  6. Step 6: Final answer
    x = 6,696.37

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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.