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Finding the Fourth Proportional to 16,236.50, 22,406.40 and 8,784.50

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Solution

The fourth proportional to 16,236.50, 22,406.40 and 8,784.50 is: 12,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236.50 : 22,406.40 = 8,784.50 : x
  2. Step 2: Convert to fraction form
    16,236.50/22,406.40 = 8,784.50/x
  3. Step 3: Cross multiply
    16,236.50x = 22,406.40 × 8,784.50
  4. Step 4: Simplify right side
    16,236.50x = 196,829,020.80
  5. Step 5: Solve for x
    x = 196,829,020.80/16,236.50
  6. Step 6: Final answer
    x = 12,122.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.