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Finding the Fourth Proportional to 21,672.13, 32,509.32 and 6,882.21

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Solution

The fourth proportional to 21,672.13, 32,509.32 and 6,882.21 is: 10,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.13 : 32,509.32 = 6,882.21 : x
  2. Step 2: Convert to fraction form
    21,672.13/32,509.32 = 6,882.21/x
  3. Step 3: Cross multiply
    21,672.13x = 32,509.32 × 6,882.21
  4. Step 4: Simplify right side
    21,672.13x = 223,735,967.20
  5. Step 5: Solve for x
    x = 223,735,967.20/21,672.13
  6. Step 6: Final answer
    x = 10,323.67

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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.