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Finding the Fourth Proportional to 18,138.30, 27,163.71 and 12,277.14

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Solution

The fourth proportional to 18,138.30, 27,163.71 and 12,277.14 is: 18,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.30 : 27,163.71 = 12,277.14 : x
  2. Step 2: Convert to fraction form
    18,138.30/27,163.71 = 12,277.14/x
  3. Step 3: Cross multiply
    18,138.30x = 27,163.71 × 12,277.14
  4. Step 4: Simplify right side
    18,138.30x = 333,492,670.59
  5. Step 5: Solve for x
    x = 333,492,670.59/18,138.30
  6. Step 6: Final answer
    x = 18,386.10

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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.