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Finding the Fourth Proportional to 16,633.77, 24,952.01 and 4,947

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Solution

The fourth proportional to 16,633.77, 24,952.01 and 4,947 is: 7,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633.77 : 24,952.01 = 4,947 : x
  2. Step 2: Convert to fraction form
    16,633.77/24,952.01 = 4,947/x
  3. Step 3: Cross multiply
    16,633.77x = 24,952.01 × 4,947
  4. Step 4: Simplify right side
    16,633.77x = 123,437,568.74
  5. Step 5: Solve for x
    x = 123,437,568.74/16,633.77
  6. Step 6: Final answer
    x = 7,420.90

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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.