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Finding the Fourth Proportional to 30,213, 41,696.50 and 16,967.56

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Solution

The fourth proportional to 30,213, 41,696.50 and 16,967.56 is: 23,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213 : 41,696.50 = 16,967.56 : x
  2. Step 2: Convert to fraction form
    30,213/41,696.50 = 16,967.56/x
  3. Step 3: Cross multiply
    30,213x = 41,696.50 × 16,967.56
  4. Step 4: Simplify right side
    30,213x = 707,487,865.54
  5. Step 5: Solve for x
    x = 707,487,865.54/30,213
  6. Step 6: Final answer
    x = 23,416.67

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1.5x scale

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.