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Finding the Fourth Proportional to 16,214.68, 22,376.28 and 8,762.68

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Solution

The fourth proportional to 16,214.68, 22,376.28 and 8,762.68 is: 12,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.68 : 22,376.28 = 8,762.68 : x
  2. Step 2: Convert to fraction form
    16,214.68/22,376.28 = 8,762.68/x
  3. Step 3: Cross multiply
    16,214.68x = 22,376.28 × 8,762.68
  4. Step 4: Simplify right side
    16,214.68x = 196,076,181.23
  5. Step 5: Solve for x
    x = 196,076,181.23/16,214.68
  6. Step 6: Final answer
    x = 12,092.51

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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.