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Finding the Fourth Proportional to 27,781.67, 41,675.03 and 9,056.90

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Solution

The fourth proportional to 27,781.67, 41,675.03 and 9,056.90 is: 13,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.67 : 41,675.03 = 9,056.90 : x
  2. Step 2: Convert to fraction form
    27,781.67/41,675.03 = 9,056.90/x
  3. Step 3: Cross multiply
    27,781.67x = 41,675.03 × 9,056.90
  4. Step 4: Simplify right side
    27,781.67x = 377,446,579.21
  5. Step 5: Solve for x
    x = 377,446,579.21/27,781.67
  6. Step 6: Final answer
    x = 13,586.17

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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.