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Finding the Fourth Proportional to 16,214.82, 22,376.48 and 8,762.82

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Solution

The fourth proportional to 16,214.82, 22,376.48 and 8,762.82 is: 12,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.82 : 22,376.48 = 8,762.82 : x
  2. Step 2: Convert to fraction form
    16,214.82/22,376.48 = 8,762.82/x
  3. Step 3: Cross multiply
    16,214.82x = 22,376.48 × 8,762.82
  4. Step 4: Simplify right side
    16,214.82x = 196,081,022.66
  5. Step 5: Solve for x
    x = 196,081,022.66/16,214.82
  6. Step 6: Final answer
    x = 12,092.70

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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.