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Finding the Fourth Proportional to 16,234.52, 22,403.66 and 8,782.52

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Solution

The fourth proportional to 16,234.52, 22,403.66 and 8,782.52 is: 12,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.52 : 22,403.66 = 8,782.52 : x
  2. Step 2: Convert to fraction form
    16,234.52/22,403.66 = 8,782.52/x
  3. Step 3: Cross multiply
    16,234.52x = 22,403.66 × 8,782.52
  4. Step 4: Simplify right side
    16,234.52x = 196,760,592.02
  5. Step 5: Solve for x
    x = 196,760,592.02/16,234.52
  6. Step 6: Final answer
    x = 12,119.89

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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.