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Finding the Fourth Proportional to 13,892.76, 19,178.26 and 8,863.74

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Solution

The fourth proportional to 13,892.76, 19,178.26 and 8,863.74 is: 12,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.76 : 19,178.26 = 8,863.74 : x
  2. Step 2: Convert to fraction form
    13,892.76/19,178.26 = 8,863.74/x
  3. Step 3: Cross multiply
    13,892.76x = 19,178.26 × 8,863.74
  4. Step 4: Simplify right side
    13,892.76x = 169,991,110.29
  5. Step 5: Solve for x
    x = 169,991,110.29/13,892.76
  6. Step 6: Final answer
    x = 12,235.95

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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.