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Finding the Fourth Proportional to 13,967.97, 19,273.03 and 7,835.87

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Solution

The fourth proportional to 13,967.97, 19,273.03 and 7,835.87 is: 10,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.97 : 19,273.03 = 7,835.87 : x
  2. Step 2: Convert to fraction form
    13,967.97/19,273.03 = 7,835.87/x
  3. Step 3: Cross multiply
    13,967.97x = 19,273.03 × 7,835.87
  4. Step 4: Simplify right side
    13,967.97x = 151,020,957.59
  5. Step 5: Solve for x
    x = 151,020,957.59/13,967.97
  6. Step 6: Final answer
    x = 10,811.95

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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.