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Finding the Fourth Proportional to 13,862.31, 19,129.97 and 7,893.98

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Solution

The fourth proportional to 13,862.31, 19,129.97 and 7,893.98 is: 10,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.31 : 19,129.97 = 7,893.98 : x
  2. Step 2: Convert to fraction form
    13,862.31/19,129.97 = 7,893.98/x
  3. Step 3: Cross multiply
    13,862.31x = 19,129.97 × 7,893.98
  4. Step 4: Simplify right side
    13,862.31x = 151,011,600.58
  5. Step 5: Solve for x
    x = 151,011,600.58/13,862.31
  6. Step 6: Final answer
    x = 10,893.68

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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.