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Finding the Fourth Proportional to 27,782.78, 38,339.84 and 15,846.31

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Solution

The fourth proportional to 27,782.78, 38,339.84 and 15,846.31 is: 21,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.78 : 38,339.84 = 15,846.31 : x
  2. Step 2: Convert to fraction form
    27,782.78/38,339.84 = 15,846.31/x
  3. Step 3: Cross multiply
    27,782.78x = 38,339.84 × 15,846.31
  4. Step 4: Simplify right side
    27,782.78x = 607,544,989.99
  5. Step 5: Solve for x
    x = 607,544,989.99/27,782.78
  6. Step 6: Final answer
    x = 21,867.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.