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Finding the Fourth Proportional to 16,007, 24,021.20 and 5,618.76

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Solution

The fourth proportional to 16,007, 24,021.20 and 5,618.76 is: 8,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007 : 24,021.20 = 5,618.76 : x
  2. Step 2: Convert to fraction form
    16,007/24,021.20 = 5,618.76/x
  3. Step 3: Cross multiply
    16,007x = 24,021.20 × 5,618.76
  4. Step 4: Simplify right side
    16,007x = 134,969,357.71
  5. Step 5: Solve for x
    x = 134,969,357.71/16,007
  6. Step 6: Final answer
    x = 8,431.90

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1.5x scale

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.