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Finding the Fourth Proportional to 21,157.42, 31,740.14 and 8,508.15

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Solution

The fourth proportional to 21,157.42, 31,740.14 and 8,508.15 is: 12,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.42 : 31,740.14 = 8,508.15 : x
  2. Step 2: Convert to fraction form
    21,157.42/31,740.14 = 8,508.15/x
  3. Step 3: Cross multiply
    21,157.42x = 31,740.14 × 8,508.15
  4. Step 4: Simplify right side
    21,157.42x = 270,049,872.14
  5. Step 5: Solve for x
    x = 270,049,872.14/21,157.42
  6. Step 6: Final answer
    x = 12,763.84

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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.