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Finding the Fourth Proportional to 14,604.73, 21,907.41 and 4,743.97

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Solution

The fourth proportional to 14,604.73, 21,907.41 and 4,743.97 is: 7,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.73 : 21,907.41 = 4,743.97 : x
  2. Step 2: Convert to fraction form
    14,604.73/21,907.41 = 4,743.97/x
  3. Step 3: Cross multiply
    14,604.73x = 21,907.41 × 4,743.97
  4. Step 4: Simplify right side
    14,604.73x = 103,928,095.82
  5. Step 5: Solve for x
    x = 103,928,095.82/14,604.73
  6. Step 6: Final answer
    x = 7,116.06

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Why These Related Problems?

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