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Finding the Fourth Proportional to 16,356.68, 24,530.16 and 5,966

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Solution

The fourth proportional to 16,356.68, 24,530.16 and 5,966 is: 8,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.68 : 24,530.16 = 5,966 : x
  2. Step 2: Convert to fraction form
    16,356.68/24,530.16 = 5,966/x
  3. Step 3: Cross multiply
    16,356.68x = 24,530.16 × 5,966
  4. Step 4: Simplify right side
    16,356.68x = 146,346,934.56
  5. Step 5: Solve for x
    x = 146,346,934.56/16,356.68
  6. Step 6: Final answer
    x = 8,947.23

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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.