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Finding the Fourth Proportional to 20,503.24, 30,764.02 and 9,967.48

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Solution

The fourth proportional to 20,503.24, 30,764.02 and 9,967.48 is: 14,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.24 : 30,764.02 = 9,967.48 : x
  2. Step 2: Convert to fraction form
    20,503.24/30,764.02 = 9,967.48/x
  3. Step 3: Cross multiply
    20,503.24x = 30,764.02 × 9,967.48
  4. Step 4: Simplify right side
    20,503.24x = 306,639,754.07
  5. Step 5: Solve for x
    x = 306,639,754.07/20,503.24
  6. Step 6: Final answer
    x = 14,955.67

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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.