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Finding the Fourth Proportional to 19,680.30, 29,523.15 and 7,197.30

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Solution

The fourth proportional to 19,680.30, 29,523.15 and 7,197.30 is: 10,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680.30 : 29,523.15 = 7,197.30 : x
  2. Step 2: Convert to fraction form
    19,680.30/29,523.15 = 7,197.30/x
  3. Step 3: Cross multiply
    19,680.30x = 29,523.15 × 7,197.30
  4. Step 4: Simplify right side
    19,680.30x = 212,486,967.50
  5. Step 5: Solve for x
    x = 212,486,967.50/19,680.30
  6. Step 6: Final answer
    x = 10,796.94

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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.