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Finding the Fourth Proportional to 16,494.64, 24,713.16 and 13,739.02

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Solution

The fourth proportional to 16,494.64, 24,713.16 and 13,739.02 is: 20,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.64 : 24,713.16 = 13,739.02 : x
  2. Step 2: Convert to fraction form
    16,494.64/24,713.16 = 13,739.02/x
  3. Step 3: Cross multiply
    16,494.64x = 24,713.16 × 13,739.02
  4. Step 4: Simplify right side
    16,494.64x = 339,534,599.50
  5. Step 5: Solve for x
    x = 339,534,599.50/16,494.64
  6. Step 6: Final answer
    x = 20,584.54

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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.