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Finding the Fourth Proportional to 19,705.84, 29,563.60 and 8,018.08

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Solution

The fourth proportional to 19,705.84, 29,563.60 and 8,018.08 is: 12,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.84 : 29,563.60 = 8,018.08 : x
  2. Step 2: Convert to fraction form
    19,705.84/29,563.60 = 8,018.08/x
  3. Step 3: Cross multiply
    19,705.84x = 29,563.60 × 8,018.08
  4. Step 4: Simplify right side
    19,705.84x = 237,043,309.89
  5. Step 5: Solve for x
    x = 237,043,309.89/19,705.84
  6. Step 6: Final answer
    x = 12,029.09

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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.