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Finding the Fourth Proportional to 16,234.14, 22,403.04 and 8,782.14

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Solution

The fourth proportional to 16,234.14, 22,403.04 and 8,782.14 is: 12,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.14 : 22,403.04 = 8,782.14 : x
  2. Step 2: Convert to fraction form
    16,234.14/22,403.04 = 8,782.14/x
  3. Step 3: Cross multiply
    16,234.14x = 22,403.04 × 8,782.14
  4. Step 4: Simplify right side
    16,234.14x = 196,746,633.71
  5. Step 5: Solve for x
    x = 196,746,633.71/16,234.14
  6. Step 6: Final answer
    x = 12,119.31

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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.