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Finding the Fourth Proportional to 18,532.75, 27,799.14 and 4,681.75

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Solution

The fourth proportional to 18,532.75, 27,799.14 and 4,681.75 is: 7,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532.75 : 27,799.14 = 4,681.75 : x
  2. Step 2: Convert to fraction form
    18,532.75/27,799.14 = 4,681.75/x
  3. Step 3: Cross multiply
    18,532.75x = 27,799.14 × 4,681.75
  4. Step 4: Simplify right side
    18,532.75x = 130,148,623.70
  5. Step 5: Solve for x
    x = 130,148,623.70/18,532.75
  6. Step 6: Final answer
    x = 7,022.63

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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.