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Finding the Fourth Proportional to 21,174.30, 31,751.18 and 6,380.46

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Solution

The fourth proportional to 21,174.30, 31,751.18 and 6,380.46 is: 9,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.30 : 31,751.18 = 6,380.46 : x
  2. Step 2: Convert to fraction form
    21,174.30/31,751.18 = 6,380.46/x
  3. Step 3: Cross multiply
    21,174.30x = 31,751.18 × 6,380.46
  4. Step 4: Simplify right side
    21,174.30x = 202,587,133.94
  5. Step 5: Solve for x
    x = 202,587,133.94/21,174.30
  6. Step 6: Final answer
    x = 9,567.60

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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.