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Finding the Fourth Proportional to 27,924.99, 41,878.59 and 9,201.53

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Solution

The fourth proportional to 27,924.99, 41,878.59 and 9,201.53 is: 13,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,924.99 : 41,878.59 = 9,201.53 : x
  2. Step 2: Convert to fraction form
    27,924.99/41,878.59 = 9,201.53/x
  3. Step 3: Cross multiply
    27,924.99x = 41,878.59 × 9,201.53
  4. Step 4: Simplify right side
    27,924.99x = 385,347,250.07
  5. Step 5: Solve for x
    x = 385,347,250.07/27,924.99
  6. Step 6: Final answer
    x = 13,799.37

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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.