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Finding the Fourth Proportional to 13,935.50, 19,231.02 and 7,648.04

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Solution

The fourth proportional to 13,935.50, 19,231.02 and 7,648.04 is: 10,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.50 : 19,231.02 = 7,648.04 : x
  2. Step 2: Convert to fraction form
    13,935.50/19,231.02 = 7,648.04/x
  3. Step 3: Cross multiply
    13,935.50x = 19,231.02 × 7,648.04
  4. Step 4: Simplify right side
    13,935.50x = 147,079,610.20
  5. Step 5: Solve for x
    x = 147,079,610.20/13,935.50
  6. Step 6: Final answer
    x = 10,554.31

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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.