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Finding the Fourth Proportional to 19,827.50, 29,745.80 and 8,735.03

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Solution

The fourth proportional to 19,827.50, 29,745.80 and 8,735.03 is: 13,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.50 : 29,745.80 = 8,735.03 : x
  2. Step 2: Convert to fraction form
    19,827.50/29,745.80 = 8,735.03/x
  3. Step 3: Cross multiply
    19,827.50x = 29,745.80 × 8,735.03
  4. Step 4: Simplify right side
    19,827.50x = 259,830,411.70
  5. Step 5: Solve for x
    x = 259,830,411.70/19,827.50
  6. Step 6: Final answer
    x = 13,104.55

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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.