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Finding the Fourth Proportional to 17,447.82, 24,086.88 and 11,812.34

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Solution

The fourth proportional to 17,447.82, 24,086.88 and 11,812.34 is: 16,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.82 : 24,086.88 = 11,812.34 : x
  2. Step 2: Convert to fraction form
    17,447.82/24,086.88 = 11,812.34/x
  3. Step 3: Cross multiply
    17,447.82x = 24,086.88 × 11,812.34
  4. Step 4: Simplify right side
    17,447.82x = 284,522,416.10
  5. Step 5: Solve for x
    x = 284,522,416.10/17,447.82
  6. Step 6: Final answer
    x = 16,307.05

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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.