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Finding the Fourth Proportional to 21,224.57, 29,290.09 and 13,271.41

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Solution

The fourth proportional to 21,224.57, 29,290.09 and 13,271.41 is: 18,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.57 : 29,290.09 = 13,271.41 : x
  2. Step 2: Convert to fraction form
    21,224.57/29,290.09 = 13,271.41/x
  3. Step 3: Cross multiply
    21,224.57x = 29,290.09 × 13,271.41
  4. Step 4: Simplify right side
    21,224.57x = 388,720,686.92
  5. Step 5: Solve for x
    x = 388,720,686.92/21,224.57
  6. Step 6: Final answer
    x = 18,314.65

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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.