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Finding the Fourth Proportional to 18,419.27, 27,634.37 and 8,564.40

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Solution

The fourth proportional to 18,419.27, 27,634.37 and 8,564.40 is: 12,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,419.27 : 27,634.37 = 8,564.40 : x
  2. Step 2: Convert to fraction form
    18,419.27/27,634.37 = 8,564.40/x
  3. Step 3: Cross multiply
    18,419.27x = 27,634.37 × 8,564.40
  4. Step 4: Simplify right side
    18,419.27x = 236,671,755.61
  5. Step 5: Solve for x
    x = 236,671,755.61/18,419.27
  6. Step 6: Final answer
    x = 12,849.14

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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.