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Finding the Fourth Proportional to 21,200.67, 29,255.76 and 11,768.67

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Solution

The fourth proportional to 21,200.67, 29,255.76 and 11,768.67 is: 16,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.67 : 29,255.76 = 11,768.67 : x
  2. Step 2: Convert to fraction form
    21,200.67/29,255.76 = 11,768.67/x
  3. Step 3: Cross multiply
    21,200.67x = 29,255.76 × 11,768.67
  4. Step 4: Simplify right side
    21,200.67x = 344,301,385.04
  5. Step 5: Solve for x
    x = 344,301,385.04/21,200.67
  6. Step 6: Final answer
    x = 16,240.12

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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.