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Finding the Fourth Proportional to 16,490.25, 24,735.38 and 7,256.25

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Solution

The fourth proportional to 16,490.25, 24,735.38 and 7,256.25 is: 10,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.25 : 24,735.38 = 7,256.25 : x
  2. Step 2: Convert to fraction form
    16,490.25/24,735.38 = 7,256.25/x
  3. Step 3: Cross multiply
    16,490.25x = 24,735.38 × 7,256.25
  4. Step 4: Simplify right side
    16,490.25x = 179,486,064.84
  5. Step 5: Solve for x
    x = 179,486,064.84/16,490.25
  6. Step 6: Final answer
    x = 10,884.38

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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.