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Finding the Fourth Proportional to 12,152.16, 18,231.51 and 3,832.50

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Solution

The fourth proportional to 12,152.16, 18,231.51 and 3,832.50 is: 5,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.16 : 18,231.51 = 3,832.50 : x
  2. Step 2: Convert to fraction form
    12,152.16/18,231.51 = 3,832.50/x
  3. Step 3: Cross multiply
    12,152.16x = 18,231.51 × 3,832.50
  4. Step 4: Simplify right side
    12,152.16x = 69,872,262.08
  5. Step 5: Solve for x
    x = 69,872,262.08/12,152.16
  6. Step 6: Final answer
    x = 5,749.78

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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.