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Finding the Fourth Proportional to 13,191.30, 19,790.67 and 5,405.70

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Solution

The fourth proportional to 13,191.30, 19,790.67 and 5,405.70 is: 8,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.30 : 19,790.67 = 5,405.70 : x
  2. Step 2: Convert to fraction form
    13,191.30/19,790.67 = 5,405.70/x
  3. Step 3: Cross multiply
    13,191.30x = 19,790.67 × 5,405.70
  4. Step 4: Simplify right side
    13,191.30x = 106,982,424.82
  5. Step 5: Solve for x
    x = 106,982,424.82/13,191.30
  6. Step 6: Final answer
    x = 8,110.07

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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.