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Finding the Fourth Proportional to 21,149.20, 31,717.48 and 6,354.16

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Solution

The fourth proportional to 21,149.20, 31,717.48 and 6,354.16 is: 9,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.20 : 31,717.48 = 6,354.16 : x
  2. Step 2: Convert to fraction form
    21,149.20/31,717.48 = 6,354.16/x
  3. Step 3: Cross multiply
    21,149.20x = 31,717.48 × 6,354.16
  4. Step 4: Simplify right side
    21,149.20x = 201,537,942.72
  5. Step 5: Solve for x
    x = 201,537,942.72/21,149.20
  6. Step 6: Final answer
    x = 9,529.34

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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.