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Finding the Fourth Proportional to 22,559.46, 33,840 and 6,764.67

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Solution

The fourth proportional to 22,559.46, 33,840 and 6,764.67 is: 10,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.46 : 33,840 = 6,764.67 : x
  2. Step 2: Convert to fraction form
    22,559.46/33,840 = 6,764.67/x
  3. Step 3: Cross multiply
    22,559.46x = 33,840 × 6,764.67
  4. Step 4: Simplify right side
    22,559.46x = 228,916,432.80
  5. Step 5: Solve for x
    x = 228,916,432.80/22,559.46
  6. Step 6: Final answer
    x = 10,147.25

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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.