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Finding the Fourth Proportional to 14,219.65, 21,298.69 and 9,274.29

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Solution

The fourth proportional to 14,219.65, 21,298.69 and 9,274.29 is: 13,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.65 : 21,298.69 = 9,274.29 : x
  2. Step 2: Convert to fraction form
    14,219.65/21,298.69 = 9,274.29/x
  3. Step 3: Cross multiply
    14,219.65x = 21,298.69 × 9,274.29
  4. Step 4: Simplify right side
    14,219.65x = 197,530,227.68
  5. Step 5: Solve for x
    x = 197,530,227.68/14,219.65
  6. Step 6: Final answer
    x = 13,891.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.