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Finding the Fourth Proportional to 27,495.84, 41,238.58 and 7,774.24

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Solution

The fourth proportional to 27,495.84, 41,238.58 and 7,774.24 is: 11,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,495.84 : 41,238.58 = 7,774.24 : x
  2. Step 2: Convert to fraction form
    27,495.84/41,238.58 = 7,774.24/x
  3. Step 3: Cross multiply
    27,495.84x = 41,238.58 × 7,774.24
  4. Step 4: Simplify right side
    27,495.84x = 320,598,618.18
  5. Step 5: Solve for x
    x = 320,598,618.18/27,495.84
  6. Step 6: Final answer
    x = 11,659.90

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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.