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Finding the Fourth Proportional to 16,770.68, 23,142.04 and 9,216.96

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Solution

The fourth proportional to 16,770.68, 23,142.04 and 9,216.96 is: 12,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770.68 : 23,142.04 = 9,216.96 : x
  2. Step 2: Convert to fraction form
    16,770.68/23,142.04 = 9,216.96/x
  3. Step 3: Cross multiply
    16,770.68x = 23,142.04 × 9,216.96
  4. Step 4: Simplify right side
    16,770.68x = 213,299,257.00
  5. Step 5: Solve for x
    x = 213,299,257.00/16,770.68
  6. Step 6: Final answer
    x = 12,718.58

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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.