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Finding the Fourth Proportional to 12,289.86, 18,435.42 and 3,524.85

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Solution

The fourth proportional to 12,289.86, 18,435.42 and 3,524.85 is: 5,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.86 : 18,435.42 = 3,524.85 : x
  2. Step 2: Convert to fraction form
    12,289.86/18,435.42 = 3,524.85/x
  3. Step 3: Cross multiply
    12,289.86x = 18,435.42 × 3,524.85
  4. Step 4: Simplify right side
    12,289.86x = 64,982,090.19
  5. Step 5: Solve for x
    x = 64,982,090.19/12,289.86
  6. Step 6: Final answer
    x = 5,287.46

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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.