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Finding the Fourth Proportional to 16,268.22, 24,402 and 5,174.94

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Solution

The fourth proportional to 16,268.22, 24,402 and 5,174.94 is: 7,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.22 : 24,402 = 5,174.94 : x
  2. Step 2: Convert to fraction form
    16,268.22/24,402 = 5,174.94/x
  3. Step 3: Cross multiply
    16,268.22x = 24,402 × 5,174.94
  4. Step 4: Simplify right side
    16,268.22x = 126,278,885.88
  5. Step 5: Solve for x
    x = 126,278,885.88/16,268.22
  6. Step 6: Final answer
    x = 7,762.31

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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.