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Finding the Fourth Proportional to 13,871.96, 19,142.31 and 7,902.53

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Solution

The fourth proportional to 13,871.96, 19,142.31 and 7,902.53 is: 10,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.96 : 19,142.31 = 7,902.53 : x
  2. Step 2: Convert to fraction form
    13,871.96/19,142.31 = 7,902.53/x
  3. Step 3: Cross multiply
    13,871.96x = 19,142.31 × 7,902.53
  4. Step 4: Simplify right side
    13,871.96x = 151,272,583.33
  5. Step 5: Solve for x
    x = 151,272,583.33/13,871.96
  6. Step 6: Final answer
    x = 10,904.92

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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.