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Finding the Fourth Proportional to 19,801.44, 29,697.30 and 6,653.52

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Solution

The fourth proportional to 19,801.44, 29,697.30 and 6,653.52 is: 9,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.44 : 29,697.30 = 6,653.52 : x
  2. Step 2: Convert to fraction form
    19,801.44/29,697.30 = 6,653.52/x
  3. Step 3: Cross multiply
    19,801.44x = 29,697.30 × 6,653.52
  4. Step 4: Simplify right side
    19,801.44x = 197,591,579.50
  5. Step 5: Solve for x
    x = 197,591,579.50/19,801.44
  6. Step 6: Final answer
    x = 9,978.65

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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.