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Finding the Fourth Proportional to 16,502, 24,756.24 and 7,268

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Solution

The fourth proportional to 16,502, 24,756.24 and 7,268 is: 10,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502 : 24,756.24 = 7,268 : x
  2. Step 2: Convert to fraction form
    16,502/24,756.24 = 7,268/x
  3. Step 3: Cross multiply
    16,502x = 24,756.24 × 7,268
  4. Step 4: Simplify right side
    16,502x = 179,928,352.32
  5. Step 5: Solve for x
    x = 179,928,352.32/16,502
  6. Step 6: Final answer
    x = 10,903.43

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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.