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Finding the Fourth Proportional to 18,237, 27,366.26 and 7,706.34

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Solution

The fourth proportional to 18,237, 27,366.26 and 7,706.34 is: 11,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,237 : 27,366.26 = 7,706.34 : x
  2. Step 2: Convert to fraction form
    18,237/27,366.26 = 7,706.34/x
  3. Step 3: Cross multiply
    18,237x = 27,366.26 × 7,706.34
  4. Step 4: Simplify right side
    18,237x = 210,893,665.56
  5. Step 5: Solve for x
    x = 210,893,665.56/18,237
  6. Step 6: Final answer
    x = 11,564.05

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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.