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Finding the Fourth Proportional to 21,313.04, 31,951.34 and 8,174.84

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Solution

The fourth proportional to 21,313.04, 31,951.34 and 8,174.84 is: 12,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.04 : 31,951.34 = 8,174.84 : x
  2. Step 2: Convert to fraction form
    21,313.04/31,951.34 = 8,174.84/x
  3. Step 3: Cross multiply
    21,313.04x = 31,951.34 × 8,174.84
  4. Step 4: Simplify right side
    21,313.04x = 261,197,051.41
  5. Step 5: Solve for x
    x = 261,197,051.41/21,313.04
  6. Step 6: Final answer
    x = 12,255.27

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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.