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Finding the Fourth Proportional to 21,174.23, 31,773.65 and 9,487.45

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Solution

The fourth proportional to 21,174.23, 31,773.65 and 9,487.45 is: 14,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.23 : 31,773.65 = 9,487.45 : x
  2. Step 2: Convert to fraction form
    21,174.23/31,773.65 = 9,487.45/x
  3. Step 3: Cross multiply
    21,174.23x = 31,773.65 × 9,487.45
  4. Step 4: Simplify right side
    21,174.23x = 301,450,709.39
  5. Step 5: Solve for x
    x = 301,450,709.39/21,174.23
  6. Step 6: Final answer
    x = 14,236.68

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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.