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Finding the Fourth Proportional to 22,563.69, 33,838.93 and 6,768.08

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Solution

The fourth proportional to 22,563.69, 33,838.93 and 6,768.08 is: 10,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.69 : 33,838.93 = 6,768.08 : x
  2. Step 2: Convert to fraction form
    22,563.69/33,838.93 = 6,768.08/x
  3. Step 3: Cross multiply
    22,563.69x = 33,838.93 × 6,768.08
  4. Step 4: Simplify right side
    22,563.69x = 229,024,585.35
  5. Step 5: Solve for x
    x = 229,024,585.35/22,563.69
  6. Step 6: Final answer
    x = 10,150.14

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