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Finding the Fourth Proportional to 16,028.96, 24,047.04 and 4,936.64

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Solution

The fourth proportional to 16,028.96, 24,047.04 and 4,936.64 is: 7,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,028.96 : 24,047.04 = 4,936.64 : x
  2. Step 2: Convert to fraction form
    16,028.96/24,047.04 = 4,936.64/x
  3. Step 3: Cross multiply
    16,028.96x = 24,047.04 × 4,936.64
  4. Step 4: Simplify right side
    16,028.96x = 118,711,579.55
  5. Step 5: Solve for x
    x = 118,711,579.55/16,028.96
  6. Step 6: Final answer
    x = 7,406.07

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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.