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Finding the Fourth Proportional to 27,491.56, 41,237.32 and 9,735.24

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Solution

The fourth proportional to 27,491.56, 41,237.32 and 9,735.24 is: 14,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,491.56 : 41,237.32 = 9,735.24 : x
  2. Step 2: Convert to fraction form
    27,491.56/41,237.32 = 9,735.24/x
  3. Step 3: Cross multiply
    27,491.56x = 41,237.32 × 9,735.24
  4. Step 4: Simplify right side
    27,491.56x = 401,455,207.16
  5. Step 5: Solve for x
    x = 401,455,207.16/27,491.56
  6. Step 6: Final answer
    x = 14,602.85

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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.