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Finding the Fourth Proportional to 19,877.50, 29,823.27 and 8,782.75

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Solution

The fourth proportional to 19,877.50, 29,823.27 and 8,782.75 is: 13,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.50 : 29,823.27 = 8,782.75 : x
  2. Step 2: Convert to fraction form
    19,877.50/29,823.27 = 8,782.75/x
  3. Step 3: Cross multiply
    19,877.50x = 29,823.27 × 8,782.75
  4. Step 4: Simplify right side
    19,877.50x = 261,930,324.59
  5. Step 5: Solve for x
    x = 261,930,324.59/19,877.50
  6. Step 6: Final answer
    x = 13,177.23

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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.