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Finding the Fourth Proportional to 15,023.75, 20,713.89 and 9,636.67

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Solution

The fourth proportional to 15,023.75, 20,713.89 and 9,636.67 is: 13,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.75 : 20,713.89 = 9,636.67 : x
  2. Step 2: Convert to fraction form
    15,023.75/20,713.89 = 9,636.67/x
  3. Step 3: Cross multiply
    15,023.75x = 20,713.89 × 9,636.67
  4. Step 4: Simplify right side
    15,023.75x = 199,612,984.38
  5. Step 5: Solve for x
    x = 199,612,984.38/15,023.75
  6. Step 6: Final answer
    x = 13,286.50

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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.