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Finding the Fourth Proportional to 18,583.68, 27,883.74 and 7,512

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Solution

The fourth proportional to 18,583.68, 27,883.74 and 7,512 is: 11,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,583.68 : 27,883.74 = 7,512 : x
  2. Step 2: Convert to fraction form
    18,583.68/27,883.74 = 7,512/x
  3. Step 3: Cross multiply
    18,583.68x = 27,883.74 × 7,512
  4. Step 4: Simplify right side
    18,583.68x = 209,462,654.88
  5. Step 5: Solve for x
    x = 209,462,654.88/18,583.68
  6. Step 6: Final answer
    x = 11,271.32

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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.