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Finding the Fourth Proportional to 13,841.46, 19,099.26 and 7,873.65

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Solution

The fourth proportional to 13,841.46, 19,099.26 and 7,873.65 is: 10,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.46 : 19,099.26 = 7,873.65 : x
  2. Step 2: Convert to fraction form
    13,841.46/19,099.26 = 7,873.65/x
  3. Step 3: Cross multiply
    13,841.46x = 19,099.26 × 7,873.65
  4. Step 4: Simplify right side
    13,841.46x = 150,380,888.50
  5. Step 5: Solve for x
    x = 150,380,888.50/13,841.46
  6. Step 6: Final answer
    x = 10,864.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.