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Finding the Fourth Proportional to 19,854.88, 29,786.70 and 6,706.96

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Solution

The fourth proportional to 19,854.88, 29,786.70 and 6,706.96 is: 10,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.88 : 29,786.70 = 6,706.96 : x
  2. Step 2: Convert to fraction form
    19,854.88/29,786.70 = 6,706.96/x
  3. Step 3: Cross multiply
    19,854.88x = 29,786.70 × 6,706.96
  4. Step 4: Simplify right side
    19,854.88x = 199,778,205.43
  5. Step 5: Solve for x
    x = 199,778,205.43/19,854.88
  6. Step 6: Final answer
    x = 10,061.92

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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.