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Finding the Fourth Proportional to 19,796.88, 29,695.80 and 5,946

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Solution

The fourth proportional to 19,796.88, 29,695.80 and 5,946 is: 8,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.88 : 29,695.80 = 5,946 : x
  2. Step 2: Convert to fraction form
    19,796.88/29,695.80 = 5,946/x
  3. Step 3: Cross multiply
    19,796.88x = 29,695.80 × 5,946
  4. Step 4: Simplify right side
    19,796.88x = 176,571,226.80
  5. Step 5: Solve for x
    x = 176,571,226.80/19,796.88
  6. Step 6: Final answer
    x = 8,919.14

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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.