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Finding the Fourth Proportional to 12,974.50, 17,904.83 and 7,385.50

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Solution

The fourth proportional to 12,974.50, 17,904.83 and 7,385.50 is: 10,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.50 : 17,904.83 = 7,385.50 : x
  2. Step 2: Convert to fraction form
    12,974.50/17,904.83 = 7,385.50/x
  3. Step 3: Cross multiply
    12,974.50x = 17,904.83 × 7,385.50
  4. Step 4: Simplify right side
    12,974.50x = 132,236,121.97
  5. Step 5: Solve for x
    x = 132,236,121.97/12,974.50
  6. Step 6: Final answer
    x = 10,192.00

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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.