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Finding the Fourth Proportional to 19,853.52, 29,777.04 and 6,705.60

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Solution

The fourth proportional to 19,853.52, 29,777.04 and 6,705.60 is: 10,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.52 : 29,777.04 = 6,705.60 : x
  2. Step 2: Convert to fraction form
    19,853.52/29,777.04 = 6,705.60/x
  3. Step 3: Cross multiply
    19,853.52x = 29,777.04 × 6,705.60
  4. Step 4: Simplify right side
    19,853.52x = 199,672,919.42
  5. Step 5: Solve for x
    x = 199,672,919.42/19,853.52
  6. Step 6: Final answer
    x = 10,057.31

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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.