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Finding the Fourth Proportional to 16,164.92, 24,247.94 and 4,479

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Solution

The fourth proportional to 16,164.92, 24,247.94 and 4,479 is: 6,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.92 : 24,247.94 = 4,479 : x
  2. Step 2: Convert to fraction form
    16,164.92/24,247.94 = 4,479/x
  3. Step 3: Cross multiply
    16,164.92x = 24,247.94 × 4,479
  4. Step 4: Simplify right side
    16,164.92x = 108,606,523.26
  5. Step 5: Solve for x
    x = 108,606,523.26/16,164.92
  6. Step 6: Final answer
    x = 6,718.66

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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.