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Finding the Fourth Proportional to 27,776.82, 41,667.48 and 9,056.52

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Solution

The fourth proportional to 27,776.82, 41,667.48 and 9,056.52 is: 13,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.82 : 41,667.48 = 9,056.52 : x
  2. Step 2: Convert to fraction form
    27,776.82/41,667.48 = 9,056.52/x
  3. Step 3: Cross multiply
    27,776.82x = 41,667.48 × 9,056.52
  4. Step 4: Simplify right side
    27,776.82x = 377,362,365.97
  5. Step 5: Solve for x
    x = 377,362,365.97/27,776.82
  6. Step 6: Final answer
    x = 13,585.51

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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.