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Finding the Fourth Proportional to 13,902.94, 19,186.44 and 8,452.00

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Solution

The fourth proportional to 13,902.94, 19,186.44 and 8,452.00 is: 11,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.94 : 19,186.44 = 8,452.00 : x
  2. Step 2: Convert to fraction form
    13,902.94/19,186.44 = 8,452.00/x
  3. Step 3: Cross multiply
    13,902.94x = 19,186.44 × 8,452.00
  4. Step 4: Simplify right side
    13,902.94x = 162,163,694.95
  5. Step 5: Solve for x
    x = 162,163,694.95/13,902.94
  6. Step 6: Final answer
    x = 11,663.99

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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.