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Finding the Fourth Proportional to 16,234.56, 22,403.64 and 8,782.56

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Solution

The fourth proportional to 16,234.56, 22,403.64 and 8,782.56 is: 12,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.56 : 22,403.64 = 8,782.56 : x
  2. Step 2: Convert to fraction form
    16,234.56/22,403.64 = 8,782.56/x
  3. Step 3: Cross multiply
    16,234.56x = 22,403.64 × 8,782.56
  4. Step 4: Simplify right side
    16,234.56x = 196,761,312.52
  5. Step 5: Solve for x
    x = 196,761,312.52/16,234.56
  6. Step 6: Final answer
    x = 12,119.90

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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.