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Finding the Fourth Proportional to 13,811.85, 19,059.69 and 7,842.73

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Solution

The fourth proportional to 13,811.85, 19,059.69 and 7,842.73 is: 10,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.85 : 19,059.69 = 7,842.73 : x
  2. Step 2: Convert to fraction form
    13,811.85/19,059.69 = 7,842.73/x
  3. Step 3: Cross multiply
    13,811.85x = 19,059.69 × 7,842.73
  4. Step 4: Simplify right side
    13,811.85x = 149,480,002.55
  5. Step 5: Solve for x
    x = 149,480,002.55/13,811.85
  6. Step 6: Final answer
    x = 10,822.59

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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.