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Finding the Fourth Proportional to 16,494.20, 24,735.54 and 7,733.24

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Solution

The fourth proportional to 16,494.20, 24,735.54 and 7,733.24 is: 11,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.20 : 24,735.54 = 7,733.24 : x
  2. Step 2: Convert to fraction form
    16,494.20/24,735.54 = 7,733.24/x
  3. Step 3: Cross multiply
    16,494.20x = 24,735.54 × 7,733.24
  4. Step 4: Simplify right side
    16,494.20x = 191,285,867.35
  5. Step 5: Solve for x
    x = 191,285,867.35/16,494.20
  6. Step 6: Final answer
    x = 11,597.16

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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.