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Finding the Fourth Proportional to 16,214.63, 22,376.18 and 8,762.63

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Solution

The fourth proportional to 16,214.63, 22,376.18 and 8,762.63 is: 12,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.63 : 22,376.18 = 8,762.63 : x
  2. Step 2: Convert to fraction form
    16,214.63/22,376.18 = 8,762.63/x
  3. Step 3: Cross multiply
    16,214.63x = 22,376.18 × 8,762.63
  4. Step 4: Simplify right side
    16,214.63x = 196,074,096.18
  5. Step 5: Solve for x
    x = 196,074,096.18/16,214.63
  6. Step 6: Final answer
    x = 12,092.42

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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.