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Finding the Fourth Proportional to 21,769.72, 30,042.57 and 12,338.08

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Solution

The fourth proportional to 21,769.72, 30,042.57 and 12,338.08 is: 17,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,769.72 : 30,042.57 = 12,338.08 : x
  2. Step 2: Convert to fraction form
    21,769.72/30,042.57 = 12,338.08/x
  3. Step 3: Cross multiply
    21,769.72x = 30,042.57 × 12,338.08
  4. Step 4: Simplify right side
    21,769.72x = 370,667,632.07
  5. Step 5: Solve for x
    x = 370,667,632.07/21,769.72
  6. Step 6: Final answer
    x = 17,026.75

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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.