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Finding the Fourth Proportional to 12,024, 18,036.96 and 3,816

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Solution

The fourth proportional to 12,024, 18,036.96 and 3,816 is: 5,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024 : 18,036.96 = 3,816 : x
  2. Step 2: Convert to fraction form
    12,024/18,036.96 = 3,816/x
  3. Step 3: Cross multiply
    12,024x = 18,036.96 × 3,816
  4. Step 4: Simplify right side
    12,024x = 68,829,039.36
  5. Step 5: Solve for x
    x = 68,829,039.36/12,024
  6. Step 6: Final answer
    x = 5,724.30

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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.