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Finding the Fourth Proportional to 12,254.42, 18,388.86 and 5,682.86

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Solution

The fourth proportional to 12,254.42, 18,388.86 and 5,682.86 is: 8,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.42 : 18,388.86 = 5,682.86 : x
  2. Step 2: Convert to fraction form
    12,254.42/18,388.86 = 5,682.86/x
  3. Step 3: Cross multiply
    12,254.42x = 18,388.86 × 5,682.86
  4. Step 4: Simplify right side
    12,254.42x = 104,501,316.94
  5. Step 5: Solve for x
    x = 104,501,316.94/12,254.42
  6. Step 6: Final answer
    x = 8,527.64

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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.