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Finding the Fourth Proportional to 19,853.79, 29,780.75 and 6,706.27

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Solution

The fourth proportional to 19,853.79, 29,780.75 and 6,706.27 is: 10,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.79 : 29,780.75 = 6,706.27 : x
  2. Step 2: Convert to fraction form
    19,853.79/29,780.75 = 6,706.27/x
  3. Step 3: Cross multiply
    19,853.79x = 29,780.75 × 6,706.27
  4. Step 4: Simplify right side
    19,853.79x = 199,717,750.30
  5. Step 5: Solve for x
    x = 199,717,750.30/19,853.79
  6. Step 6: Final answer
    x = 10,059.43

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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.