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Finding the Fourth Proportional to 20,186.51, 30,280.86 and 7,707.54

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Solution

The fourth proportional to 20,186.51, 30,280.86 and 7,707.54 is: 11,561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.51 : 30,280.86 = 7,707.54 : x
  2. Step 2: Convert to fraction form
    20,186.51/30,280.86 = 7,707.54/x
  3. Step 3: Cross multiply
    20,186.51x = 30,280.86 × 7,707.54
  4. Step 4: Simplify right side
    20,186.51x = 233,390,939.68
  5. Step 5: Solve for x
    x = 233,390,939.68/20,186.51
  6. Step 6: Final answer
    x = 11,561.73

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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.