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Finding the Fourth Proportional to 18,284.88, 27,427.44 and 5,137.50

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Solution

The fourth proportional to 18,284.88, 27,427.44 and 5,137.50 is: 7,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.88 : 27,427.44 = 5,137.50 : x
  2. Step 2: Convert to fraction form
    18,284.88/27,427.44 = 5,137.50/x
  3. Step 3: Cross multiply
    18,284.88x = 27,427.44 × 5,137.50
  4. Step 4: Simplify right side
    18,284.88x = 140,908,473
  5. Step 5: Solve for x
    x = 140,908,473/18,284.88
  6. Step 6: Final answer
    x = 7,706.28

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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.