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Finding the Fourth Proportional to 19,504.38, 26,919.06 and 12,809.43

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Solution

The fourth proportional to 19,504.38, 26,919.06 and 12,809.43 is: 17,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504.38 : 26,919.06 = 12,809.43 : x
  2. Step 2: Convert to fraction form
    19,504.38/26,919.06 = 12,809.43/x
  3. Step 3: Cross multiply
    19,504.38x = 26,919.06 × 12,809.43
  4. Step 4: Simplify right side
    19,504.38x = 344,817,814.74
  5. Step 5: Solve for x
    x = 344,817,814.74/19,504.38
  6. Step 6: Final answer
    x = 17,678.99

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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.