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Finding the Fourth Proportional to 20,873.28, 31,302.12 and 8,389.08

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Solution

The fourth proportional to 20,873.28, 31,302.12 and 8,389.08 is: 12,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.28 : 31,302.12 = 8,389.08 : x
  2. Step 2: Convert to fraction form
    20,873.28/31,302.12 = 8,389.08/x
  3. Step 3: Cross multiply
    20,873.28x = 31,302.12 × 8,389.08
  4. Step 4: Simplify right side
    20,873.28x = 262,595,988.85
  5. Step 5: Solve for x
    x = 262,595,988.85/20,873.28
  6. Step 6: Final answer
    x = 12,580.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.