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Finding the Fourth Proportional to 19,164.50, 26,449.44 and 10,782.62

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Solution

The fourth proportional to 19,164.50, 26,449.44 and 10,782.62 is: 14,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,164.50 : 26,449.44 = 10,782.62 : x
  2. Step 2: Convert to fraction form
    19,164.50/26,449.44 = 10,782.62/x
  3. Step 3: Cross multiply
    19,164.50x = 26,449.44 × 10,782.62
  4. Step 4: Simplify right side
    19,164.50x = 285,194,260.73
  5. Step 5: Solve for x
    x = 285,194,260.73/19,164.50
  6. Step 6: Final answer
    x = 14,881.38

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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.