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Finding the Fourth Proportional to 19,757.60, 29,633.84 and 7,444

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Solution

The fourth proportional to 19,757.60, 29,633.84 and 7,444 is: 11,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.60 : 29,633.84 = 7,444 : x
  2. Step 2: Convert to fraction form
    19,757.60/29,633.84 = 7,444/x
  3. Step 3: Cross multiply
    19,757.60x = 29,633.84 × 7,444
  4. Step 4: Simplify right side
    19,757.60x = 220,594,304.96
  5. Step 5: Solve for x
    x = 220,594,304.96/19,757.60
  6. Step 6: Final answer
    x = 11,165.04

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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.