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Finding the Fourth Proportional to 13,261.80, 19,892.70 and 11,188.20

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Solution

The fourth proportional to 13,261.80, 19,892.70 and 11,188.20 is: 16,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261.80 : 19,892.70 = 11,188.20 : x
  2. Step 2: Convert to fraction form
    13,261.80/19,892.70 = 11,188.20/x
  3. Step 3: Cross multiply
    13,261.80x = 19,892.70 × 11,188.20
  4. Step 4: Simplify right side
    13,261.80x = 222,563,506.14
  5. Step 5: Solve for x
    x = 222,563,506.14/13,261.80
  6. Step 6: Final answer
    x = 16,782.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.