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Finding the Fourth Proportional to 16,813.44, 23,202.45 and 9,739.71

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Solution

The fourth proportional to 16,813.44, 23,202.45 and 9,739.71 is: 13,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.44 : 23,202.45 = 9,739.71 : x
  2. Step 2: Convert to fraction form
    16,813.44/23,202.45 = 9,739.71/x
  3. Step 3: Cross multiply
    16,813.44x = 23,202.45 × 9,739.71
  4. Step 4: Simplify right side
    16,813.44x = 225,985,134.29
  5. Step 5: Solve for x
    x = 225,985,134.29/16,813.44
  6. Step 6: Final answer
    x = 13,440.74

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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.