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Finding the Fourth Proportional to 18,509.69, 27,735.47 and 12,589.40

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Solution

The fourth proportional to 18,509.69, 27,735.47 and 12,589.40 is: 18,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.69 : 27,735.47 = 12,589.40 : x
  2. Step 2: Convert to fraction form
    18,509.69/27,735.47 = 12,589.40/x
  3. Step 3: Cross multiply
    18,509.69x = 27,735.47 × 12,589.40
  4. Step 4: Simplify right side
    18,509.69x = 349,172,755.87
  5. Step 5: Solve for x
    x = 349,172,755.87/18,509.69
  6. Step 6: Final answer
    x = 18,864.33

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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.