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Finding the Fourth Proportional to 28,024, 38,675.88 and 20,938.12

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Solution

The fourth proportional to 28,024, 38,675.88 and 20,938.12 is: 28,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,024 : 38,675.88 = 20,938.12 : x
  2. Step 2: Convert to fraction form
    28,024/38,675.88 = 20,938.12/x
  3. Step 3: Cross multiply
    28,024x = 38,675.88 × 20,938.12
  4. Step 4: Simplify right side
    28,024x = 809,800,216.55
  5. Step 5: Solve for x
    x = 809,800,216.55/28,024
  6. Step 6: Final answer
    x = 28,896.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.