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Finding the Fourth Proportional to 13,163.28, 19,746 and 6,588.96

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Solution

The fourth proportional to 13,163.28, 19,746 and 6,588.96 is: 9,883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.28 : 19,746 = 6,588.96 : x
  2. Step 2: Convert to fraction form
    13,163.28/19,746 = 6,588.96/x
  3. Step 3: Cross multiply
    13,163.28x = 19,746 × 6,588.96
  4. Step 4: Simplify right side
    13,163.28x = 130,105,604.16
  5. Step 5: Solve for x
    x = 130,105,604.16/13,163.28
  6. Step 6: Final answer
    x = 9,883.98

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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.