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Finding the Fourth Proportional to 19,756.44, 29,634.68 and 8,069.66

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Solution

The fourth proportional to 19,756.44, 29,634.68 and 8,069.66 is: 12,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,756.44 : 29,634.68 = 8,069.66 : x
  2. Step 2: Convert to fraction form
    19,756.44/29,634.68 = 8,069.66/x
  3. Step 3: Cross multiply
    19,756.44x = 29,634.68 × 8,069.66
  4. Step 4: Simplify right side
    19,756.44x = 239,141,663.81
  5. Step 5: Solve for x
    x = 239,141,663.81/19,756.44
  6. Step 6: Final answer
    x = 12,104.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.