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Finding the Fourth Proportional to 27,774.57, 41,666.18 and 9,302.25

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Solution

The fourth proportional to 27,774.57, 41,666.18 and 9,302.25 is: 13,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.57 : 41,666.18 = 9,302.25 : x
  2. Step 2: Convert to fraction form
    27,774.57/41,666.18 = 9,302.25/x
  3. Step 3: Cross multiply
    27,774.57x = 41,666.18 × 9,302.25
  4. Step 4: Simplify right side
    27,774.57x = 387,589,176.39
  5. Step 5: Solve for x
    x = 387,589,176.39/27,774.57
  6. Step 6: Final answer
    x = 13,954.82

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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.