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Finding the Fourth Proportional to 16,602.89, 22,911.85 and 9,049.23

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Solution

The fourth proportional to 16,602.89, 22,911.85 and 9,049.23 is: 12,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,602.89 : 22,911.85 = 9,049.23 : x
  2. Step 2: Convert to fraction form
    16,602.89/22,911.85 = 9,049.23/x
  3. Step 3: Cross multiply
    16,602.89x = 22,911.85 × 9,049.23
  4. Step 4: Simplify right side
    16,602.89x = 207,334,471.88
  5. Step 5: Solve for x
    x = 207,334,471.88/16,602.89
  6. Step 6: Final answer
    x = 12,487.85

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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.