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Finding the Fourth Proportional to 16,182.64, 24,273.72 and 5,652.64

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Solution

The fourth proportional to 16,182.64, 24,273.72 and 5,652.64 is: 8,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.64 : 24,273.72 = 5,652.64 : x
  2. Step 2: Convert to fraction form
    16,182.64/24,273.72 = 5,652.64/x
  3. Step 3: Cross multiply
    16,182.64x = 24,273.72 × 5,652.64
  4. Step 4: Simplify right side
    16,182.64x = 137,210,600.62
  5. Step 5: Solve for x
    x = 137,210,600.62/16,182.64
  6. Step 6: Final answer
    x = 8,478.88

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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.