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Finding the Fourth Proportional to 21,179.12, 31,770.18 and 6,389.16

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Solution

The fourth proportional to 21,179.12, 31,770.18 and 6,389.16 is: 9,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,179.12 : 31,770.18 = 6,389.16 : x
  2. Step 2: Convert to fraction form
    21,179.12/31,770.18 = 6,389.16/x
  3. Step 3: Cross multiply
    21,179.12x = 31,770.18 × 6,389.16
  4. Step 4: Simplify right side
    21,179.12x = 202,984,763.25
  5. Step 5: Solve for x
    x = 202,984,763.25/21,179.12
  6. Step 6: Final answer
    x = 9,584.19

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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.