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Finding the Fourth Proportional to 24,467.65, 36,706.93 and 7,828.67

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Solution

The fourth proportional to 24,467.65, 36,706.93 and 7,828.67 is: 11,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.65 : 36,706.93 = 7,828.67 : x
  2. Step 2: Convert to fraction form
    24,467.65/36,706.93 = 7,828.67/x
  3. Step 3: Cross multiply
    24,467.65x = 36,706.93 × 7,828.67
  4. Step 4: Simplify right side
    24,467.65x = 287,366,513.88
  5. Step 5: Solve for x
    x = 287,366,513.88/24,467.65
  6. Step 6: Final answer
    x = 11,744.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.