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Finding the Fourth Proportional to 19,785.20, 29,651.88 and 8,085.08

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Solution

The fourth proportional to 19,785.20, 29,651.88 and 8,085.08 is: 12,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.20 : 29,651.88 = 8,085.08 : x
  2. Step 2: Convert to fraction form
    19,785.20/29,651.88 = 8,085.08/x
  3. Step 3: Cross multiply
    19,785.20x = 29,651.88 × 8,085.08
  4. Step 4: Simplify right side
    19,785.20x = 239,737,821.95
  5. Step 5: Solve for x
    x = 239,737,821.95/19,785.20
  6. Step 6: Final answer
    x = 12,117.03

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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.