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Finding the Fourth Proportional to 27,712.76, 38,241.78 and 15,777.32

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Solution

The fourth proportional to 27,712.76, 38,241.78 and 15,777.32 is: 21,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.76 : 38,241.78 = 15,777.32 : x
  2. Step 2: Convert to fraction form
    27,712.76/38,241.78 = 15,777.32/x
  3. Step 3: Cross multiply
    27,712.76x = 38,241.78 × 15,777.32
  4. Step 4: Simplify right side
    27,712.76x = 603,352,800.43
  5. Step 5: Solve for x
    x = 603,352,800.43/27,712.76
  6. Step 6: Final answer
    x = 21,771.66

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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.