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Finding the Fourth Proportional to 18,564.69, 27,825.80 and 7,464.28

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Solution

The fourth proportional to 18,564.69, 27,825.80 and 7,464.28 is: 11,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.69 : 27,825.80 = 7,464.28 : x
  2. Step 2: Convert to fraction form
    18,564.69/27,825.80 = 7,464.28/x
  3. Step 3: Cross multiply
    18,564.69x = 27,825.80 × 7,464.28
  4. Step 4: Simplify right side
    18,564.69x = 207,699,562.42
  5. Step 5: Solve for x
    x = 207,699,562.42/18,564.69
  6. Step 6: Final answer
    x = 11,187.88

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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.