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Finding the Fourth Proportional to 27,365.34, 41,023.17 and 9,831

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Solution

The fourth proportional to 27,365.34, 41,023.17 and 9,831 is: 14,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,365.34 : 41,023.17 = 9,831 : x
  2. Step 2: Convert to fraction form
    27,365.34/41,023.17 = 9,831/x
  3. Step 3: Cross multiply
    27,365.34x = 41,023.17 × 9,831
  4. Step 4: Simplify right side
    27,365.34x = 403,298,784.27
  5. Step 5: Solve for x
    x = 403,298,784.27/27,365.34
  6. Step 6: Final answer
    x = 14,737.58

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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.