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Finding the Fourth Proportional to 13,149, 19,733.22 and 6,223.50

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Solution

The fourth proportional to 13,149, 19,733.22 and 6,223.50 is: 9,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149 : 19,733.22 = 6,223.50 : x
  2. Step 2: Convert to fraction form
    13,149/19,733.22 = 6,223.50/x
  3. Step 3: Cross multiply
    13,149x = 19,733.22 × 6,223.50
  4. Step 4: Simplify right side
    13,149x = 122,809,694.67
  5. Step 5: Solve for x
    x = 122,809,694.67/13,149
  6. Step 6: Final answer
    x = 9,339.85

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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.