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Finding the Fourth Proportional to 12,222.24, 16,854.93 and 7,737.81

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Solution

The fourth proportional to 12,222.24, 16,854.93 and 7,737.81 is: 10,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.24 : 16,854.93 = 7,737.81 : x
  2. Step 2: Convert to fraction form
    12,222.24/16,854.93 = 7,737.81/x
  3. Step 3: Cross multiply
    12,222.24x = 16,854.93 × 7,737.81
  4. Step 4: Simplify right side
    12,222.24x = 130,420,245.90
  5. Step 5: Solve for x
    x = 130,420,245.90/12,222.24
  6. Step 6: Final answer
    x = 10,670.73

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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.