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Finding the Fourth Proportional to 20,033.46, 30,059.64 and 8,939.16

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Solution

The fourth proportional to 20,033.46, 30,059.64 and 8,939.16 is: 13,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.46 : 30,059.64 = 8,939.16 : x
  2. Step 2: Convert to fraction form
    20,033.46/30,059.64 = 8,939.16/x
  3. Step 3: Cross multiply
    20,033.46x = 30,059.64 × 8,939.16
  4. Step 4: Simplify right side
    20,033.46x = 268,707,931.50
  5. Step 5: Solve for x
    x = 268,707,931.50/20,033.46
  6. Step 6: Final answer
    x = 13,412.96

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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.