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Finding the Fourth Proportional to 16,416.81, 24,629.11 and 5,323.50

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Solution

The fourth proportional to 16,416.81, 24,629.11 and 5,323.50 is: 7,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.81 : 24,629.11 = 5,323.50 : x
  2. Step 2: Convert to fraction form
    16,416.81/24,629.11 = 5,323.50/x
  3. Step 3: Cross multiply
    16,416.81x = 24,629.11 × 5,323.50
  4. Step 4: Simplify right side
    16,416.81x = 131,113,067.09
  5. Step 5: Solve for x
    x = 131,113,067.09/16,416.81
  6. Step 6: Final answer
    x = 7,986.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.