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Finding the Fourth Proportional to 13,314.72, 19,983.84 and 7,760.44

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Solution

The fourth proportional to 13,314.72, 19,983.84 and 7,760.44 is: 11,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.72 : 19,983.84 = 7,760.44 : x
  2. Step 2: Convert to fraction form
    13,314.72/19,983.84 = 7,760.44/x
  3. Step 3: Cross multiply
    13,314.72x = 19,983.84 × 7,760.44
  4. Step 4: Simplify right side
    13,314.72x = 155,083,391.29
  5. Step 5: Solve for x
    x = 155,083,391.29/13,314.72
  6. Step 6: Final answer
    x = 11,647.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.