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Finding the Fourth Proportional to 14,022.56, 19,351.08 and 7,734.80

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Solution

The fourth proportional to 14,022.56, 19,351.08 and 7,734.80 is: 10,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.56 : 19,351.08 = 7,734.80 : x
  2. Step 2: Convert to fraction form
    14,022.56/19,351.08 = 7,734.80/x
  3. Step 3: Cross multiply
    14,022.56x = 19,351.08 × 7,734.80
  4. Step 4: Simplify right side
    14,022.56x = 149,676,733.58
  5. Step 5: Solve for x
    x = 149,676,733.58/14,022.56
  6. Step 6: Final answer
    x = 10,673.99

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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.