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Finding the Fourth Proportional to 17,826.84, 24,601.88 and 10,274.28

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Solution

The fourth proportional to 17,826.84, 24,601.88 and 10,274.28 is: 14,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.84 : 24,601.88 = 10,274.28 : x
  2. Step 2: Convert to fraction form
    17,826.84/24,601.88 = 10,274.28/x
  3. Step 3: Cross multiply
    17,826.84x = 24,601.88 × 10,274.28
  4. Step 4: Simplify right side
    17,826.84x = 252,766,603.65
  5. Step 5: Solve for x
    x = 252,766,603.65/17,826.84
  6. Step 6: Final answer
    x = 14,178.99

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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.