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Finding the Fourth Proportional to 19,138.63, 28,706.39 and 12,098.11

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Solution

The fourth proportional to 19,138.63, 28,706.39 and 12,098.11 is: 18,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.63 : 28,706.39 = 12,098.11 : x
  2. Step 2: Convert to fraction form
    19,138.63/28,706.39 = 12,098.11/x
  3. Step 3: Cross multiply
    19,138.63x = 28,706.39 × 12,098.11
  4. Step 4: Simplify right side
    19,138.63x = 347,293,063.92
  5. Step 5: Solve for x
    x = 347,293,063.92/19,138.63
  6. Step 6: Final answer
    x = 18,146.18

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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.