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Finding the Fourth Proportional to 16,048.94, 24,022.97 and 11,021.87

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Solution

The fourth proportional to 16,048.94, 24,022.97 and 11,021.87 is: 16,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048.94 : 24,022.97 = 11,021.87 : x
  2. Step 2: Convert to fraction form
    16,048.94/24,022.97 = 11,021.87/x
  3. Step 3: Cross multiply
    16,048.94x = 24,022.97 × 11,021.87
  4. Step 4: Simplify right side
    16,048.94x = 264,777,877.13
  5. Step 5: Solve for x
    x = 264,777,877.13/16,048.94
  6. Step 6: Final answer
    x = 16,498.16

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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.