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Finding the Fourth Proportional to 27,842.47, 41,771.49 and 9,135.66

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Solution

The fourth proportional to 27,842.47, 41,771.49 and 9,135.66 is: 13,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.47 : 41,771.49 = 9,135.66 : x
  2. Step 2: Convert to fraction form
    27,842.47/41,771.49 = 9,135.66/x
  3. Step 3: Cross multiply
    27,842.47x = 41,771.49 × 9,135.66
  4. Step 4: Simplify right side
    27,842.47x = 381,610,252.72
  5. Step 5: Solve for x
    x = 381,610,252.72/27,842.47
  6. Step 6: Final answer
    x = 13,706.05

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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.