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Finding the Fourth Proportional to 16,012.49, 24,034.22 and 7,698.24

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Solution

The fourth proportional to 16,012.49, 24,034.22 and 7,698.24 is: 11,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.49 : 24,034.22 = 7,698.24 : x
  2. Step 2: Convert to fraction form
    16,012.49/24,034.22 = 7,698.24/x
  3. Step 3: Cross multiply
    16,012.49x = 24,034.22 × 7,698.24
  4. Step 4: Simplify right side
    16,012.49x = 185,021,184.15
  5. Step 5: Solve for x
    x = 185,021,184.15/16,012.49
  6. Step 6: Final answer
    x = 11,554.81

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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.