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Finding the Fourth Proportional to 15,724.69, 21,698.31 and 9,008.49

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Solution

The fourth proportional to 15,724.69, 21,698.31 and 9,008.49 is: 12,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.69 : 21,698.31 = 9,008.49 : x
  2. Step 2: Convert to fraction form
    15,724.69/21,698.31 = 9,008.49/x
  3. Step 3: Cross multiply
    15,724.69x = 21,698.31 × 9,008.49
  4. Step 4: Simplify right side
    15,724.69x = 195,469,008.65
  5. Step 5: Solve for x
    x = 195,469,008.65/15,724.69
  6. Step 6: Final answer
    x = 12,430.71

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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.