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Finding the Fourth Proportional to 27,625.25, 41,437.88 and 9,157.25

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Solution

The fourth proportional to 27,625.25, 41,437.88 and 9,157.25 is: 13,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,625.25 : 41,437.88 = 9,157.25 : x
  2. Step 2: Convert to fraction form
    27,625.25/41,437.88 = 9,157.25/x
  3. Step 3: Cross multiply
    27,625.25x = 41,437.88 × 9,157.25
  4. Step 4: Simplify right side
    27,625.25x = 379,457,026.63
  5. Step 5: Solve for x
    x = 379,457,026.63/27,625.25
  6. Step 6: Final answer
    x = 13,735.88

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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.