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Finding the Fourth Proportional to 22,623.70, 33,927.42 and 7,828.60

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Solution

The fourth proportional to 22,623.70, 33,927.42 and 7,828.60 is: 11,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623.70 : 33,927.42 = 7,828.60 : x
  2. Step 2: Convert to fraction form
    22,623.70/33,927.42 = 7,828.60/x
  3. Step 3: Cross multiply
    22,623.70x = 33,927.42 × 7,828.60
  4. Step 4: Simplify right side
    22,623.70x = 265,604,200.21
  5. Step 5: Solve for x
    x = 265,604,200.21/22,623.70
  6. Step 6: Final answer
    x = 11,740.09

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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.