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Finding the Fourth Proportional to 31,617.76, 47,421.17 and 11,896.49

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Solution

The fourth proportional to 31,617.76, 47,421.17 and 11,896.49 is: 17,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617.76 : 47,421.17 = 11,896.49 : x
  2. Step 2: Convert to fraction form
    31,617.76/47,421.17 = 11,896.49/x
  3. Step 3: Cross multiply
    31,617.76x = 47,421.17 × 11,896.49
  4. Step 4: Simplify right side
    31,617.76x = 564,145,345.09
  5. Step 5: Solve for x
    x = 564,145,345.09/31,617.76
  6. Step 6: Final answer
    x = 17,842.67

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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.