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Finding the Fourth Proportional to 19,519.49, 26,936.96 and 10,566.97

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Solution

The fourth proportional to 19,519.49, 26,936.96 and 10,566.97 is: 14,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,519.49 : 26,936.96 = 10,566.97 : x
  2. Step 2: Convert to fraction form
    19,519.49/26,936.96 = 10,566.97/x
  3. Step 3: Cross multiply
    19,519.49x = 26,936.96 × 10,566.97
  4. Step 4: Simplify right side
    19,519.49x = 284,641,995.38
  5. Step 5: Solve for x
    x = 284,641,995.38/19,519.49
  6. Step 6: Final answer
    x = 14,582.45

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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.