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Finding the Fourth Proportional to 21,192, 29,244.96 and 11,762.08

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Solution

The fourth proportional to 21,192, 29,244.96 and 11,762.08 is: 16,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,192 : 29,244.96 = 11,762.08 : x
  2. Step 2: Convert to fraction form
    21,192/29,244.96 = 11,762.08/x
  3. Step 3: Cross multiply
    21,192x = 29,244.96 × 11,762.08
  4. Step 4: Simplify right side
    21,192x = 343,981,559.12
  5. Step 5: Solve for x
    x = 343,981,559.12/21,192
  6. Step 6: Final answer
    x = 16,231.67

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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.