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Finding the Fourth Proportional to 16,328.64, 22,533.48 and 8,876.64

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Solution

The fourth proportional to 16,328.64, 22,533.48 and 8,876.64 is: 12,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.64 : 22,533.48 = 8,876.64 : x
  2. Step 2: Convert to fraction form
    16,328.64/22,533.48 = 8,876.64/x
  3. Step 3: Cross multiply
    16,328.64x = 22,533.48 × 8,876.64
  4. Step 4: Simplify right side
    16,328.64x = 200,021,589.91
  5. Step 5: Solve for x
    x = 200,021,589.91/16,328.64
  6. Step 6: Final answer
    x = 12,249.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.