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Finding the Fourth Proportional to 13,141.69, 19,705.24 and 4,371.82

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Solution

The fourth proportional to 13,141.69, 19,705.24 and 4,371.82 is: 6,555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.69 : 19,705.24 = 4,371.82 : x
  2. Step 2: Convert to fraction form
    13,141.69/19,705.24 = 4,371.82/x
  3. Step 3: Cross multiply
    13,141.69x = 19,705.24 × 4,371.82
  4. Step 4: Simplify right side
    13,141.69x = 86,147,641.95
  5. Step 5: Solve for x
    x = 86,147,641.95/13,141.69
  6. Step 6: Final answer
    x = 6,555.30

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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.