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Finding the Fourth Proportional to 18,564.96, 27,828 and 13,627.20

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Solution

The fourth proportional to 18,564.96, 27,828 and 13,627.20 is: 20,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.96 : 27,828 = 13,627.20 : x
  2. Step 2: Convert to fraction form
    18,564.96/27,828 = 13,627.20/x
  3. Step 3: Cross multiply
    18,564.96x = 27,828 × 13,627.20
  4. Step 4: Simplify right side
    18,564.96x = 379,217,721.60
  5. Step 5: Solve for x
    x = 379,217,721.60/18,564.96
  6. Step 6: Final answer
    x = 20,426.53

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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.