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Finding the Fourth Proportional to 13,892.58, 19,168.80 and 8,229.12

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Solution

The fourth proportional to 13,892.58, 19,168.80 and 8,229.12 is: 11,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.58 : 19,168.80 = 8,229.12 : x
  2. Step 2: Convert to fraction form
    13,892.58/19,168.80 = 8,229.12/x
  3. Step 3: Cross multiply
    13,892.58x = 19,168.80 × 8,229.12
  4. Step 4: Simplify right side
    13,892.58x = 157,742,355.46
  5. Step 5: Solve for x
    x = 157,742,355.46/13,892.58
  6. Step 6: Final answer
    x = 11,354.43

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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.