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Finding the Fourth Proportional to 13,974.66, 19,285.02 and 7,687.02

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Solution

The fourth proportional to 13,974.66, 19,285.02 and 7,687.02 is: 10,608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.66 : 19,285.02 = 7,687.02 : x
  2. Step 2: Convert to fraction form
    13,974.66/19,285.02 = 7,687.02/x
  3. Step 3: Cross multiply
    13,974.66x = 19,285.02 × 7,687.02
  4. Step 4: Simplify right side
    13,974.66x = 148,244,334.44
  5. Step 5: Solve for x
    x = 148,244,334.44/13,974.66
  6. Step 6: Final answer
    x = 10,608.08

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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.