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Finding the Fourth Proportional to 13,811.05, 19,059.19 and 7,842.43

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Solution

The fourth proportional to 13,811.05, 19,059.19 and 7,842.43 is: 10,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.05 : 19,059.19 = 7,842.43 : x
  2. Step 2: Convert to fraction form
    13,811.05/19,059.19 = 7,842.43/x
  3. Step 3: Cross multiply
    13,811.05x = 19,059.19 × 7,842.43
  4. Step 4: Simplify right side
    13,811.05x = 149,470,363.43
  5. Step 5: Solve for x
    x = 149,470,363.43/13,811.05
  6. Step 6: Final answer
    x = 10,822.52

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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.