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Finding the Fourth Proportional to 12,285.15, 16,954.97 and 7,754.42

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Solution

The fourth proportional to 12,285.15, 16,954.97 and 7,754.42 is: 10,702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.15 : 16,954.97 = 7,754.42 : x
  2. Step 2: Convert to fraction form
    12,285.15/16,954.97 = 7,754.42/x
  3. Step 3: Cross multiply
    12,285.15x = 16,954.97 × 7,754.42
  4. Step 4: Simplify right side
    12,285.15x = 131,475,834.92
  5. Step 5: Solve for x
    x = 131,475,834.92/12,285.15
  6. Step 6: Final answer
    x = 10,702.01

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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.