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Finding the Fourth Proportional to 21,706.41, 29,945.34 and 12,749.87

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Solution

The fourth proportional to 21,706.41, 29,945.34 and 12,749.87 is: 17,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.41 : 29,945.34 = 12,749.87 : x
  2. Step 2: Convert to fraction form
    21,706.41/29,945.34 = 12,749.87/x
  3. Step 3: Cross multiply
    21,706.41x = 29,945.34 × 12,749.87
  4. Step 4: Simplify right side
    21,706.41x = 381,799,266.97
  5. Step 5: Solve for x
    x = 381,799,266.97/21,706.41
  6. Step 6: Final answer
    x = 17,589.24

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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.