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Finding the Fourth Proportional to 13,520.52, 20,280.76 and 9,846.12

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Solution

The fourth proportional to 13,520.52, 20,280.76 and 9,846.12 is: 14,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520.52 : 20,280.76 = 9,846.12 : x
  2. Step 2: Convert to fraction form
    13,520.52/20,280.76 = 9,846.12/x
  3. Step 3: Cross multiply
    13,520.52x = 20,280.76 × 9,846.12
  4. Step 4: Simplify right side
    13,520.52x = 199,686,796.65
  5. Step 5: Solve for x
    x = 199,686,796.65/13,520.52
  6. Step 6: Final answer
    x = 14,769.17

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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.