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Finding the Fourth Proportional to 21,641.25, 29,865.06 and 13,257.75

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Solution

The fourth proportional to 21,641.25, 29,865.06 and 13,257.75 is: 18,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.25 : 29,865.06 = 13,257.75 : x
  2. Step 2: Convert to fraction form
    21,641.25/29,865.06 = 13,257.75/x
  3. Step 3: Cross multiply
    21,641.25x = 29,865.06 × 13,257.75
  4. Step 4: Simplify right side
    21,641.25x = 395,943,499.22
  5. Step 5: Solve for x
    x = 395,943,499.22/21,641.25
  6. Step 6: Final answer
    x = 18,295.78

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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.