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Finding the Fourth Proportional to 16,321.12, 24,472.90 and 5,789.48

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Solution

The fourth proportional to 16,321.12, 24,472.90 and 5,789.48 is: 8,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.12 : 24,472.90 = 5,789.48 : x
  2. Step 2: Convert to fraction form
    16,321.12/24,472.90 = 5,789.48/x
  3. Step 3: Cross multiply
    16,321.12x = 24,472.90 × 5,789.48
  4. Step 4: Simplify right side
    16,321.12x = 141,685,365.09
  5. Step 5: Solve for x
    x = 141,685,365.09/16,321.12
  6. Step 6: Final answer
    x = 8,681.11

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1.5x scale

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.