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Finding the Fourth Proportional to 13,105.87, 19,647 and 4,780.08

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Solution

The fourth proportional to 13,105.87, 19,647 and 4,780.08 is: 7,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.87 : 19,647 = 4,780.08 : x
  2. Step 2: Convert to fraction form
    13,105.87/19,647 = 4,780.08/x
  3. Step 3: Cross multiply
    13,105.87x = 19,647 × 4,780.08
  4. Step 4: Simplify right side
    13,105.87x = 93,914,231.76
  5. Step 5: Solve for x
    x = 93,914,231.76/13,105.87
  6. Step 6: Final answer
    x = 7,165.82

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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.