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Finding the Fourth Proportional to 12,122.70, 16,737.61 and 9,285.06

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Solution

The fourth proportional to 12,122.70, 16,737.61 and 9,285.06 is: 12,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.70 : 16,737.61 = 9,285.06 : x
  2. Step 2: Convert to fraction form
    12,122.70/16,737.61 = 9,285.06/x
  3. Step 3: Cross multiply
    12,122.70x = 16,737.61 × 9,285.06
  4. Step 4: Simplify right side
    12,122.70x = 155,409,713.11
  5. Step 5: Solve for x
    x = 155,409,713.11/12,122.70
  6. Step 6: Final answer
    x = 12,819.73

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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.