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Finding the Fourth Proportional to 13,964.98, 19,274.61 and 8,857.18

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Solution

The fourth proportional to 13,964.98, 19,274.61 and 8,857.18 is: 12,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.98 : 19,274.61 = 8,857.18 : x
  2. Step 2: Convert to fraction form
    13,964.98/19,274.61 = 8,857.18/x
  3. Step 3: Cross multiply
    13,964.98x = 19,274.61 × 8,857.18
  4. Step 4: Simplify right side
    13,964.98x = 170,718,690.20
  5. Step 5: Solve for x
    x = 170,718,690.20/13,964.98
  6. Step 6: Final answer
    x = 12,224.77

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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.