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Finding the Fourth Proportional to 17,578.94, 24,247.74 and 12,271.82

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Solution

The fourth proportional to 17,578.94, 24,247.74 and 12,271.82 is: 16,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.94 : 24,247.74 = 12,271.82 : x
  2. Step 2: Convert to fraction form
    17,578.94/24,247.74 = 12,271.82/x
  3. Step 3: Cross multiply
    17,578.94x = 24,247.74 × 12,271.82
  4. Step 4: Simplify right side
    17,578.94x = 297,563,900.69
  5. Step 5: Solve for x
    x = 297,563,900.69/17,578.94
  6. Step 6: Final answer
    x = 16,927.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.