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Finding the Fourth Proportional to 13,992.12, 19,308.56 and 8,019.64

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Solution

The fourth proportional to 13,992.12, 19,308.56 and 8,019.64 is: 11,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.12 : 19,308.56 = 8,019.64 : x
  2. Step 2: Convert to fraction form
    13,992.12/19,308.56 = 8,019.64/x
  3. Step 3: Cross multiply
    13,992.12x = 19,308.56 × 8,019.64
  4. Step 4: Simplify right side
    13,992.12x = 154,847,700.12
  5. Step 5: Solve for x
    x = 154,847,700.12/13,992.12
  6. Step 6: Final answer
    x = 11,066.78

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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.