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Finding the Fourth Proportional to 21,723.91, 29,979.66 and 12,769.77

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Solution

The fourth proportional to 21,723.91, 29,979.66 and 12,769.77 is: 17,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,723.91 : 29,979.66 = 12,769.77 : x
  2. Step 2: Convert to fraction form
    21,723.91/29,979.66 = 12,769.77/x
  3. Step 3: Cross multiply
    21,723.91x = 29,979.66 × 12,769.77
  4. Step 4: Simplify right side
    21,723.91x = 382,833,362.88
  5. Step 5: Solve for x
    x = 382,833,362.88/21,723.91
  6. Step 6: Final answer
    x = 17,622.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.