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Finding the Fourth Proportional to 15,584.90, 21,489.75 and 9,912.47

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Solution

The fourth proportional to 15,584.90, 21,489.75 and 9,912.47 is: 13,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.90 : 21,489.75 = 9,912.47 : x
  2. Step 2: Convert to fraction form
    15,584.90/21,489.75 = 9,912.47/x
  3. Step 3: Cross multiply
    15,584.90x = 21,489.75 × 9,912.47
  4. Step 4: Simplify right side
    15,584.90x = 213,016,394.73
  5. Step 5: Solve for x
    x = 213,016,394.73/15,584.90
  6. Step 6: Final answer
    x = 13,668.13

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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.