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Finding the Fourth Proportional to 12,153.16, 18,233.01 and 3,833.50

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Solution

The fourth proportional to 12,153.16, 18,233.01 and 3,833.50 is: 5,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.16 : 18,233.01 = 3,833.50 : x
  2. Step 2: Convert to fraction form
    12,153.16/18,233.01 = 3,833.50/x
  3. Step 3: Cross multiply
    12,153.16x = 18,233.01 × 3,833.50
  4. Step 4: Simplify right side
    12,153.16x = 69,896,243.84
  5. Step 5: Solve for x
    x = 69,896,243.84/12,153.16
  6. Step 6: Final answer
    x = 5,751.28

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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.