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Finding the Fourth Proportional to 14,912.49, 22,338.52 and 6,895.86

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Solution

The fourth proportional to 14,912.49, 22,338.52 and 6,895.86 is: 10,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.49 : 22,338.52 = 6,895.86 : x
  2. Step 2: Convert to fraction form
    14,912.49/22,338.52 = 6,895.86/x
  3. Step 3: Cross multiply
    14,912.49x = 22,338.52 × 6,895.86
  4. Step 4: Simplify right side
    14,912.49x = 154,043,362.59
  5. Step 5: Solve for x
    x = 154,043,362.59/14,912.49
  6. Step 6: Final answer
    x = 10,329.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.