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Finding the Fourth Proportional to 27,848.70, 41,777.73 and 13,809.42

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Solution

The fourth proportional to 27,848.70, 41,777.73 and 13,809.42 is: 20,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848.70 : 41,777.73 = 13,809.42 : x
  2. Step 2: Convert to fraction form
    27,848.70/41,777.73 = 13,809.42/x
  3. Step 3: Cross multiply
    27,848.70x = 41,777.73 × 13,809.42
  4. Step 4: Simplify right side
    27,848.70x = 576,926,220.22
  5. Step 5: Solve for x
    x = 576,926,220.22/27,848.70
  6. Step 6: Final answer
    x = 20,716.45

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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.