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Finding the Fourth Proportional to 13,510.80, 20,240.82 and 5,185.17

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Solution

The fourth proportional to 13,510.80, 20,240.82 and 5,185.17 is: 7,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.80 : 20,240.82 = 5,185.17 : x
  2. Step 2: Convert to fraction form
    13,510.80/20,240.82 = 5,185.17/x
  3. Step 3: Cross multiply
    13,510.80x = 20,240.82 × 5,185.17
  4. Step 4: Simplify right side
    13,510.80x = 104,952,092.64
  5. Step 5: Solve for x
    x = 104,952,092.64/13,510.80
  6. Step 6: Final answer
    x = 7,768.01

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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.