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Finding the Fourth Proportional to 16,294.24, 22,485.76 and 9,220.96

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Solution

The fourth proportional to 16,294.24, 22,485.76 and 9,220.96 is: 12,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.24 : 22,485.76 = 9,220.96 : x
  2. Step 2: Convert to fraction form
    16,294.24/22,485.76 = 9,220.96/x
  3. Step 3: Cross multiply
    16,294.24x = 22,485.76 × 9,220.96
  4. Step 4: Simplify right side
    16,294.24x = 207,340,293.53
  5. Step 5: Solve for x
    x = 207,340,293.53/16,294.24
  6. Step 6: Final answer
    x = 12,724.76

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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.