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Finding the Fourth Proportional to 13,130.50, 19,695.75 and 3,896.50

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Solution

The fourth proportional to 13,130.50, 19,695.75 and 3,896.50 is: 5,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.50 : 19,695.75 = 3,896.50 : x
  2. Step 2: Convert to fraction form
    13,130.50/19,695.75 = 3,896.50/x
  3. Step 3: Cross multiply
    13,130.50x = 19,695.75 × 3,896.50
  4. Step 4: Simplify right side
    13,130.50x = 76,744,489.88
  5. Step 5: Solve for x
    x = 76,744,489.88/13,130.50
  6. Step 6: Final answer
    x = 5,844.75

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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.