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Finding the Fourth Proportional to 25,858.71, 38,791.67 and 9,213.80

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Solution

The fourth proportional to 25,858.71, 38,791.67 and 9,213.80 is: 13,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858.71 : 38,791.67 = 9,213.80 : x
  2. Step 2: Convert to fraction form
    25,858.71/38,791.67 = 9,213.80/x
  3. Step 3: Cross multiply
    25,858.71x = 38,791.67 × 9,213.80
  4. Step 4: Simplify right side
    25,858.71x = 357,418,449.02
  5. Step 5: Solve for x
    x = 357,418,449.02/25,858.71
  6. Step 6: Final answer
    x = 13,821.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.