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Finding the Fourth Proportional to 14,227.44, 19,633.76 and 7,854.03

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Solution

The fourth proportional to 14,227.44, 19,633.76 and 7,854.03 is: 10,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.44 : 19,633.76 = 7,854.03 : x
  2. Step 2: Convert to fraction form
    14,227.44/19,633.76 = 7,854.03/x
  3. Step 3: Cross multiply
    14,227.44x = 19,633.76 × 7,854.03
  4. Step 4: Simplify right side
    14,227.44x = 154,204,140.05
  5. Step 5: Solve for x
    x = 154,204,140.05/14,227.44
  6. Step 6: Final answer
    x = 10,838.50

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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.