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Finding the Fourth Proportional to 13,141.70, 19,713.37 and 3,782.35

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Solution

The fourth proportional to 13,141.70, 19,713.37 and 3,782.35 is: 5,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.70 : 19,713.37 = 3,782.35 : x
  2. Step 2: Convert to fraction form
    13,141.70/19,713.37 = 3,782.35/x
  3. Step 3: Cross multiply
    13,141.70x = 19,713.37 × 3,782.35
  4. Step 4: Simplify right side
    13,141.70x = 74,562,865.02
  5. Step 5: Solve for x
    x = 74,562,865.02/13,141.70
  6. Step 6: Final answer
    x = 5,673.76

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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.