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Finding the Fourth Proportional to 21,380.82, 29,486.30 and 13,819.20

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Solution

The fourth proportional to 21,380.82, 29,486.30 and 13,819.20 is: 19,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.82 : 29,486.30 = 13,819.20 : x
  2. Step 2: Convert to fraction form
    21,380.82/29,486.30 = 13,819.20/x
  3. Step 3: Cross multiply
    21,380.82x = 29,486.30 × 13,819.20
  4. Step 4: Simplify right side
    21,380.82x = 407,477,185.22
  5. Step 5: Solve for x
    x = 407,477,185.22/21,380.82
  6. Step 6: Final answer
    x = 19,058.07

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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.