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Finding the Fourth Proportional to 13,957.68, 19,262.67 and 7,991.22

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Solution

The fourth proportional to 13,957.68, 19,262.67 and 7,991.22 is: 11,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.68 : 19,262.67 = 7,991.22 : x
  2. Step 2: Convert to fraction form
    13,957.68/19,262.67 = 7,991.22/x
  3. Step 3: Cross multiply
    13,957.68x = 19,262.67 × 7,991.22
  4. Step 4: Simplify right side
    13,957.68x = 153,932,233.76
  5. Step 5: Solve for x
    x = 153,932,233.76/13,957.68
  6. Step 6: Final answer
    x = 11,028.50

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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.