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Finding the Fourth Proportional to 18,509.90, 27,752.49 and 10,193.85

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Solution

The fourth proportional to 18,509.90, 27,752.49 and 10,193.85 is: 15,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.90 : 27,752.49 = 10,193.85 : x
  2. Step 2: Convert to fraction form
    18,509.90/27,752.49 = 10,193.85/x
  3. Step 3: Cross multiply
    18,509.90x = 27,752.49 × 10,193.85
  4. Step 4: Simplify right side
    18,509.90x = 282,904,720.19
  5. Step 5: Solve for x
    x = 282,904,720.19/18,509.90
  6. Step 6: Final answer
    x = 15,283.97

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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.