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Finding the Fourth Proportional to 16,214.62, 22,376.19 and 8,762.62

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Solution

The fourth proportional to 16,214.62, 22,376.19 and 8,762.62 is: 12,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.62 : 22,376.19 = 8,762.62 : x
  2. Step 2: Convert to fraction form
    16,214.62/22,376.19 = 8,762.62/x
  3. Step 3: Cross multiply
    16,214.62x = 22,376.19 × 8,762.62
  4. Step 4: Simplify right side
    16,214.62x = 196,074,050.02
  5. Step 5: Solve for x
    x = 196,074,050.02/16,214.62
  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.