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Finding the Fourth Proportional to 19,763.12, 29,639.64 and 8,074.16

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Solution

The fourth proportional to 19,763.12, 29,639.64 and 8,074.16 is: 12,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,763.12 : 29,639.64 = 8,074.16 : x
  2. Step 2: Convert to fraction form
    19,763.12/29,639.64 = 8,074.16/x
  3. Step 3: Cross multiply
    19,763.12x = 29,639.64 × 8,074.16
  4. Step 4: Simplify right side
    19,763.12x = 239,315,195.70
  5. Step 5: Solve for x
    x = 239,315,195.70/19,763.12
  6. Step 6: Final answer
    x = 12,109.18

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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.