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Finding the Fourth Proportional to 22,790.48, 34,189.74 and 7,794.08

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Solution

The fourth proportional to 22,790.48, 34,189.74 and 7,794.08 is: 11,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,790.48 : 34,189.74 = 7,794.08 : x
  2. Step 2: Convert to fraction form
    22,790.48/34,189.74 = 7,794.08/x
  3. Step 3: Cross multiply
    22,790.48x = 34,189.74 × 7,794.08
  4. Step 4: Simplify right side
    22,790.48x = 266,477,568.74
  5. Step 5: Solve for x
    x = 266,477,568.74/22,790.48
  6. Step 6: Final answer
    x = 11,692.49

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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.