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Finding the Fourth Proportional to 16,420.50, 22,660.41 and 8,968.50

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Solution

The fourth proportional to 16,420.50, 22,660.41 and 8,968.50 is: 12,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.50 : 22,660.41 = 8,968.50 : x
  2. Step 2: Convert to fraction form
    16,420.50/22,660.41 = 8,968.50/x
  3. Step 3: Cross multiply
    16,420.50x = 22,660.41 × 8,968.50
  4. Step 4: Simplify right side
    16,420.50x = 203,229,887.09
  5. Step 5: Solve for x
    x = 203,229,887.09/16,420.50
  6. Step 6: Final answer
    x = 12,376.60

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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.