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Finding the Fourth Proportional to 22,412.34, 33,623.60 and 6,828.75

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Solution

The fourth proportional to 22,412.34, 33,623.60 and 6,828.75 is: 10,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.34 : 33,623.60 = 6,828.75 : x
  2. Step 2: Convert to fraction form
    22,412.34/33,623.60 = 6,828.75/x
  3. Step 3: Cross multiply
    22,412.34x = 33,623.60 × 6,828.75
  4. Step 4: Simplify right side
    22,412.34x = 229,607,124.36
  5. Step 5: Solve for x
    x = 229,607,124.36/22,412.34
  6. Step 6: Final answer
    x = 10,244.67

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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.