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Finding the Fourth Proportional to 19,744.80, 29,624.40 and 8,066.40

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Solution

The fourth proportional to 19,744.80, 29,624.40 and 8,066.40 is: 12,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744.80 : 29,624.40 = 8,066.40 : x
  2. Step 2: Convert to fraction form
    19,744.80/29,624.40 = 8,066.40/x
  3. Step 3: Cross multiply
    19,744.80x = 29,624.40 × 8,066.40
  4. Step 4: Simplify right side
    19,744.80x = 238,962,260.16
  5. Step 5: Solve for x
    x = 238,962,260.16/19,744.80
  6. Step 6: Final answer
    x = 12,102.54

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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.