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Finding the Fourth Proportional to 16,278.84, 24,427.98 and 11,338.65

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Solution

The fourth proportional to 16,278.84, 24,427.98 and 11,338.65 is: 17,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.84 : 24,427.98 = 11,338.65 : x
  2. Step 2: Convert to fraction form
    16,278.84/24,427.98 = 11,338.65/x
  3. Step 3: Cross multiply
    16,278.84x = 24,427.98 × 11,338.65
  4. Step 4: Simplify right side
    16,278.84x = 276,980,315.43
  5. Step 5: Solve for x
    x = 276,980,315.43/16,278.84
  6. Step 6: Final answer
    x = 17,014.75

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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.