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Finding the Fourth Proportional to 19,838.75, 29,756.90 and 8,151.67

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Solution

The fourth proportional to 19,838.75, 29,756.90 and 8,151.67 is: 12,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.75 : 29,756.90 = 8,151.67 : x
  2. Step 2: Convert to fraction form
    19,838.75/29,756.90 = 8,151.67/x
  3. Step 3: Cross multiply
    19,838.75x = 29,756.90 × 8,151.67
  4. Step 4: Simplify right side
    19,838.75x = 242,568,429.02
  5. Step 5: Solve for x
    x = 242,568,429.02/19,838.75
  6. Step 6: Final answer
    x = 12,227.00

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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.