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Finding the Fourth Proportional to 19,778.70, 29,653.65 and 8,085.90

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Solution

The fourth proportional to 19,778.70, 29,653.65 and 8,085.90 is: 12,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.70 : 29,653.65 = 8,085.90 : x
  2. Step 2: Convert to fraction form
    19,778.70/29,653.65 = 8,085.90/x
  3. Step 3: Cross multiply
    19,778.70x = 29,653.65 × 8,085.90
  4. Step 4: Simplify right side
    19,778.70x = 239,776,448.54
  5. Step 5: Solve for x
    x = 239,776,448.54/19,778.70
  6. Step 6: Final answer
    x = 12,122.96

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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.