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Finding the Fourth Proportional to 18,564.81, 27,830.16 and 8,028.24

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Solution

The fourth proportional to 18,564.81, 27,830.16 and 8,028.24 is: 12,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.81 : 27,830.16 = 8,028.24 : x
  2. Step 2: Convert to fraction form
    18,564.81/27,830.16 = 8,028.24/x
  3. Step 3: Cross multiply
    18,564.81x = 27,830.16 × 8,028.24
  4. Step 4: Simplify right side
    18,564.81x = 223,427,203.72
  5. Step 5: Solve for x
    x = 223,427,203.72/18,564.81
  6. Step 6: Final answer
    x = 12,034.98

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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.