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Finding the Fourth Proportional to 18,564.68, 27,840.14 and 7,467.58

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Solution

The fourth proportional to 18,564.68, 27,840.14 and 7,467.58 is: 11,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.68 : 27,840.14 = 7,467.58 : x
  2. Step 2: Convert to fraction form
    18,564.68/27,840.14 = 7,467.58/x
  3. Step 3: Cross multiply
    18,564.68x = 27,840.14 × 7,467.58
  4. Step 4: Simplify right side
    18,564.68x = 207,898,472.66
  5. Step 5: Solve for x
    x = 207,898,472.66/18,564.68
  6. Step 6: Final answer
    x = 11,198.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.