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Finding the Fourth Proportional to 14,768.82, 22,139.19 and 9,488.97

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Solution

The fourth proportional to 14,768.82, 22,139.19 and 9,488.97 is: 14,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.82 : 22,139.19 = 9,488.97 : x
  2. Step 2: Convert to fraction form
    14,768.82/22,139.19 = 9,488.97/x
  3. Step 3: Cross multiply
    14,768.82x = 22,139.19 × 9,488.97
  4. Step 4: Simplify right side
    14,768.82x = 210,078,109.73
  5. Step 5: Solve for x
    x = 210,078,109.73/14,768.82
  6. Step 6: Final answer
    x = 14,224.43

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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.