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Finding the Fourth Proportional to 27,980.90, 38,615.06 and 15,882.23

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Solution

The fourth proportional to 27,980.90, 38,615.06 and 15,882.23 is: 21,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.90 : 38,615.06 = 15,882.23 : x
  2. Step 2: Convert to fraction form
    27,980.90/38,615.06 = 15,882.23/x
  3. Step 3: Cross multiply
    27,980.90x = 38,615.06 × 15,882.23
  4. Step 4: Simplify right side
    27,980.90x = 613,293,292.02
  5. Step 5: Solve for x
    x = 613,293,292.02/27,980.90
  6. Step 6: Final answer
    x = 21,918.29

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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.