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Finding the Fourth Proportional to 20,509.36, 30,763.00 and 8,031.67

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Solution

The fourth proportional to 20,509.36, 30,763.00 and 8,031.67 is: 12,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.36 : 30,763.00 = 8,031.67 : x
  2. Step 2: Convert to fraction form
    20,509.36/30,763.00 = 8,031.67/x
  3. Step 3: Cross multiply
    20,509.36x = 30,763.00 × 8,031.67
  4. Step 4: Simplify right side
    20,509.36x = 247,078,167.22
  5. Step 5: Solve for x
    x = 247,078,167.22/20,509.36
  6. Step 6: Final answer
    x = 12,047.09

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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.