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Finding the Fourth Proportional to 13,190.70, 19,747.62 and 6,935.88

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Solution

The fourth proportional to 13,190.70, 19,747.62 and 6,935.88 is: 10,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.70 : 19,747.62 = 6,935.88 : x
  2. Step 2: Convert to fraction form
    13,190.70/19,747.62 = 6,935.88/x
  3. Step 3: Cross multiply
    13,190.70x = 19,747.62 × 6,935.88
  4. Step 4: Simplify right side
    13,190.70x = 136,967,122.61
  5. Step 5: Solve for x
    x = 136,967,122.61/13,190.70
  6. Step 6: Final answer
    x = 10,383.61

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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.