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Finding the Fourth Proportional to 20,665.46, 30,980.76 and 8,969.86

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Solution

The fourth proportional to 20,665.46, 30,980.76 and 8,969.86 is: 13,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.46 : 30,980.76 = 8,969.86 : x
  2. Step 2: Convert to fraction form
    20,665.46/30,980.76 = 8,969.86/x
  3. Step 3: Cross multiply
    20,665.46x = 30,980.76 × 8,969.86
  4. Step 4: Simplify right side
    20,665.46x = 277,893,079.89
  5. Step 5: Solve for x
    x = 277,893,079.89/20,665.46
  6. Step 6: Final answer
    x = 13,447.22

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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.