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Finding the Fourth Proportional to 13,965.84, 19,272.84 and 7,999.44

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Solution

The fourth proportional to 13,965.84, 19,272.84 and 7,999.44 is: 11,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.84 : 19,272.84 = 7,999.44 : x
  2. Step 2: Convert to fraction form
    13,965.84/19,272.84 = 7,999.44/x
  3. Step 3: Cross multiply
    13,965.84x = 19,272.84 × 7,999.44
  4. Step 4: Simplify right side
    13,965.84x = 154,171,927.21
  5. Step 5: Solve for x
    x = 154,171,927.21/13,965.84
  6. Step 6: Final answer
    x = 11,039.22

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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.