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Finding the Fourth Proportional to 27,442.99, 41,159.70 and 7,716.86

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Solution

The fourth proportional to 27,442.99, 41,159.70 and 7,716.86 is: 11,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.99 : 41,159.70 = 7,716.86 : x
  2. Step 2: Convert to fraction form
    27,442.99/41,159.70 = 7,716.86/x
  3. Step 3: Cross multiply
    27,442.99x = 41,159.70 × 7,716.86
  4. Step 4: Simplify right side
    27,442.99x = 317,623,642.54
  5. Step 5: Solve for x
    x = 317,623,642.54/27,442.99
  6. Step 6: Final answer
    x = 11,573.94

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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.