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Finding the Fourth Proportional to 24,580.97, 33,921.74 and 13,971.29

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Solution

The fourth proportional to 24,580.97, 33,921.74 and 13,971.29 is: 19,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580.97 : 33,921.74 = 13,971.29 : x
  2. Step 2: Convert to fraction form
    24,580.97/33,921.74 = 13,971.29/x
  3. Step 3: Cross multiply
    24,580.97x = 33,921.74 × 13,971.29
  4. Step 4: Simplify right side
    24,580.97x = 473,930,253.58
  5. Step 5: Solve for x
    x = 473,930,253.58/24,580.97
  6. Step 6: Final answer
    x = 19,280.37

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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.