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Finding the Fourth Proportional to 14,843.36, 20,472.24 and 9,538.64

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Solution

The fourth proportional to 14,843.36, 20,472.24 and 9,538.64 is: 13,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.36 : 20,472.24 = 9,538.64 : x
  2. Step 2: Convert to fraction form
    14,843.36/20,472.24 = 9,538.64/x
  3. Step 3: Cross multiply
    14,843.36x = 20,472.24 × 9,538.64
  4. Step 4: Simplify right side
    14,843.36x = 195,277,327.35
  5. Step 5: Solve for x
    x = 195,277,327.35/14,843.36
  6. Step 6: Final answer
    x = 13,155.87

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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.