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Finding the Fourth Proportional to 18,531.75, 27,797.64 and 4,680.75

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Solution

The fourth proportional to 18,531.75, 27,797.64 and 4,680.75 is: 7,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,531.75 : 27,797.64 = 4,680.75 : x
  2. Step 2: Convert to fraction form
    18,531.75/27,797.64 = 4,680.75/x
  3. Step 3: Cross multiply
    18,531.75x = 27,797.64 × 4,680.75
  4. Step 4: Simplify right side
    18,531.75x = 130,113,803.43
  5. Step 5: Solve for x
    x = 130,113,803.43/18,531.75
  6. Step 6: Final answer
    x = 7,021.13

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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.