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Finding the Fourth Proportional to 18,285.41, 27,428.12 and 5,138.23

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Solution

The fourth proportional to 18,285.41, 27,428.12 and 5,138.23 is: 7,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.41 : 27,428.12 = 5,138.23 : x
  2. Step 2: Convert to fraction form
    18,285.41/27,428.12 = 5,138.23/x
  3. Step 3: Cross multiply
    18,285.41x = 27,428.12 × 5,138.23
  4. Step 4: Simplify right side
    18,285.41x = 140,931,989.03
  5. Step 5: Solve for x
    x = 140,931,989.03/18,285.41
  6. Step 6: Final answer
    x = 7,707.35

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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.