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Finding the Fourth Proportional to 27,496.34, 41,239.33 and 7,774.74

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Solution

The fourth proportional to 27,496.34, 41,239.33 and 7,774.74 is: 11,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496.34 : 41,239.33 = 7,774.74 : x
  2. Step 2: Convert to fraction form
    27,496.34/41,239.33 = 7,774.74/x
  3. Step 3: Cross multiply
    27,496.34x = 41,239.33 × 7,774.74
  4. Step 4: Simplify right side
    27,496.34x = 320,625,068.52
  5. Step 5: Solve for x
    x = 320,625,068.52/27,496.34
  6. Step 6: Final answer
    x = 11,660.65

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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.