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Finding the Fourth Proportional to 12,157.48, 18,231.90 and 3,835

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Solution

The fourth proportional to 12,157.48, 18,231.90 and 3,835 is: 5,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.48 : 18,231.90 = 3,835 : x
  2. Step 2: Convert to fraction form
    12,157.48/18,231.90 = 3,835/x
  3. Step 3: Cross multiply
    12,157.48x = 18,231.90 × 3,835
  4. Step 4: Simplify right side
    12,157.48x = 69,919,336.50
  5. Step 5: Solve for x
    x = 69,919,336.50/12,157.48
  6. Step 6: Final answer
    x = 5,751.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.