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Finding the Fourth Proportional to 20,342.80, 30,527.16 and 8,656

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Solution

The fourth proportional to 20,342.80, 30,527.16 and 8,656 is: 12,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.80 : 30,527.16 = 8,656 : x
  2. Step 2: Convert to fraction form
    20,342.80/30,527.16 = 8,656/x
  3. Step 3: Cross multiply
    20,342.80x = 30,527.16 × 8,656
  4. Step 4: Simplify right side
    20,342.80x = 264,243,096.96
  5. Step 5: Solve for x
    x = 264,243,096.96/20,342.80
  6. Step 6: Final answer
    x = 12,989.51

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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.