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Finding the Fourth Proportional to 21,890.30, 32,828.94 and 6,091.65

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Solution

The fourth proportional to 21,890.30, 32,828.94 and 6,091.65 is: 9,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,890.30 : 32,828.94 = 6,091.65 : x
  2. Step 2: Convert to fraction form
    21,890.30/32,828.94 = 6,091.65/x
  3. Step 3: Cross multiply
    21,890.30x = 32,828.94 × 6,091.65
  4. Step 4: Simplify right side
    21,890.30x = 199,982,412.35
  5. Step 5: Solve for x
    x = 199,982,412.35/21,890.30
  6. Step 6: Final answer
    x = 9,135.67

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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.