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Finding the Fourth Proportional to 19,852.62, 29,783.25 and 6,704.43

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Solution

The fourth proportional to 19,852.62, 29,783.25 and 6,704.43 is: 10,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.62 : 29,783.25 = 6,704.43 : x
  2. Step 2: Convert to fraction form
    19,852.62/29,783.25 = 6,704.43/x
  3. Step 3: Cross multiply
    19,852.62x = 29,783.25 × 6,704.43
  4. Step 4: Simplify right side
    19,852.62x = 199,679,714.80
  5. Step 5: Solve for x
    x = 199,679,714.80/19,852.62
  6. Step 6: Final answer
    x = 10,058.10

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