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Finding the Fourth Proportional to 20,628, 30,947.12 and 6,036

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Solution

The fourth proportional to 20,628, 30,947.12 and 6,036 is: 9,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,628 : 30,947.12 = 6,036 : x
  2. Step 2: Convert to fraction form
    20,628/30,947.12 = 6,036/x
  3. Step 3: Cross multiply
    20,628x = 30,947.12 × 6,036
  4. Step 4: Simplify right side
    20,628x = 186,796,816.32
  5. Step 5: Solve for x
    x = 186,796,816.32/20,628
  6. Step 6: Final answer
    x = 9,055.50

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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.