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Finding the Fourth Proportional to 13,820.31, 19,054.98 and 11,692.17

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Solution

The fourth proportional to 13,820.31, 19,054.98 and 11,692.17 is: 16,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.31 : 19,054.98 = 11,692.17 : x
  2. Step 2: Convert to fraction form
    13,820.31/19,054.98 = 11,692.17/x
  3. Step 3: Cross multiply
    13,820.31x = 19,054.98 × 11,692.17
  4. Step 4: Simplify right side
    13,820.31x = 222,794,065.51
  5. Step 5: Solve for x
    x = 222,794,065.51/13,820.31
  6. Step 6: Final answer
    x = 16,120.77

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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.