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Finding the Fourth Proportional to 16,420, 22,660.16 and 8,968.48

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Solution

The fourth proportional to 16,420, 22,660.16 and 8,968.48 is: 12,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420 : 22,660.16 = 8,968.48 : x
  2. Step 2: Convert to fraction form
    16,420/22,660.16 = 8,968.48/x
  3. Step 3: Cross multiply
    16,420x = 22,660.16 × 8,968.48
  4. Step 4: Simplify right side
    16,420x = 203,227,191.76
  5. Step 5: Solve for x
    x = 203,227,191.76/16,420
  6. Step 6: Final answer
    x = 12,376.81

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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.