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Finding the Fourth Proportional to 15,149.46, 22,675.52 and 8,111.82

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Solution

The fourth proportional to 15,149.46, 22,675.52 and 8,111.82 is: 12,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.46 : 22,675.52 = 8,111.82 : x
  2. Step 2: Convert to fraction form
    15,149.46/22,675.52 = 8,111.82/x
  3. Step 3: Cross multiply
    15,149.46x = 22,675.52 × 8,111.82
  4. Step 4: Simplify right side
    15,149.46x = 183,939,736.65
  5. Step 5: Solve for x
    x = 183,939,736.65/15,149.46
  6. Step 6: Final answer
    x = 12,141.67

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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.