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Finding the Fourth Proportional to 19,705.94, 29,537.04 and 8,012.78

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Solution

The fourth proportional to 19,705.94, 29,537.04 and 8,012.78 is: 12,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.94 : 29,537.04 = 8,012.78 : x
  2. Step 2: Convert to fraction form
    19,705.94/29,537.04 = 8,012.78/x
  3. Step 3: Cross multiply
    19,705.94x = 29,537.04 × 8,012.78
  4. Step 4: Simplify right side
    19,705.94x = 236,673,803.37
  5. Step 5: Solve for x
    x = 236,673,803.37/19,705.94
  6. Step 6: Final answer
    x = 12,010.28

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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.