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Finding the Fourth Proportional to 13,840.30, 19,099.53 and 7,871.99

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Solution

The fourth proportional to 13,840.30, 19,099.53 and 7,871.99 is: 10,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.30 : 19,099.53 = 7,871.99 : x
  2. Step 2: Convert to fraction form
    13,840.30/19,099.53 = 7,871.99/x
  3. Step 3: Cross multiply
    13,840.30x = 19,099.53 × 7,871.99
  4. Step 4: Simplify right side
    13,840.30x = 150,351,213.67
  5. Step 5: Solve for x
    x = 150,351,213.67/13,840.30
  6. Step 6: Final answer
    x = 10,863.29

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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.