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Finding the Fourth Proportional to 19,164.94, 26,447.61 and 10,781.44

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Solution

The fourth proportional to 19,164.94, 26,447.61 and 10,781.44 is: 14,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,164.94 : 26,447.61 = 10,781.44 : x
  2. Step 2: Convert to fraction form
    19,164.94/26,447.61 = 10,781.44/x
  3. Step 3: Cross multiply
    19,164.94x = 26,447.61 × 10,781.44
  4. Step 4: Simplify right side
    19,164.94x = 285,143,294.67
  5. Step 5: Solve for x
    x = 285,143,294.67/19,164.94
  6. Step 6: Final answer
    x = 14,878.38

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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.