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Finding the Fourth Proportional to 20,186, 30,280.11 and 7,707.04

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Solution

The fourth proportional to 20,186, 30,280.11 and 7,707.04 is: 11,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186 : 30,280.11 = 7,707.04 : x
  2. Step 2: Convert to fraction form
    20,186/30,280.11 = 7,707.04/x
  3. Step 3: Cross multiply
    20,186x = 30,280.11 × 7,707.04
  4. Step 4: Simplify right side
    20,186x = 233,370,018.97
  5. Step 5: Solve for x
    x = 233,370,018.97/20,186
  6. Step 6: Final answer
    x = 11,560.98

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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.