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Finding the Fourth Proportional to 13,130.88, 19,693.76 and 3,896.96

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Solution

The fourth proportional to 13,130.88, 19,693.76 and 3,896.96 is: 5,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.88 : 19,693.76 = 3,896.96 : x
  2. Step 2: Convert to fraction form
    13,130.88/19,693.76 = 3,896.96/x
  3. Step 3: Cross multiply
    13,130.88x = 19,693.76 × 3,896.96
  4. Step 4: Simplify right side
    13,130.88x = 76,745,794.97
  5. Step 5: Solve for x
    x = 76,745,794.97/13,130.88
  6. Step 6: Final answer
    x = 5,844.68

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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.