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Finding the Fourth Proportional to 13,811.92, 19,062.46 and 7,842.36

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Solution

The fourth proportional to 13,811.92, 19,062.46 and 7,842.36 is: 10,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.92 : 19,062.46 = 7,842.36 : x
  2. Step 2: Convert to fraction form
    13,811.92/19,062.46 = 7,842.36/x
  3. Step 3: Cross multiply
    13,811.92x = 19,062.46 × 7,842.36
  4. Step 4: Simplify right side
    13,811.92x = 149,494,673.81
  5. Step 5: Solve for x
    x = 149,494,673.81/13,811.92
  6. Step 6: Final answer
    x = 10,823.60

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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.