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Finding the Fourth Proportional to 12,252.50, 16,908.45 and 7,284.50

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Solution

The fourth proportional to 12,252.50, 16,908.45 and 7,284.50 is: 10,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252.50 : 16,908.45 = 7,284.50 : x
  2. Step 2: Convert to fraction form
    12,252.50/16,908.45 = 7,284.50/x
  3. Step 3: Cross multiply
    12,252.50x = 16,908.45 × 7,284.50
  4. Step 4: Simplify right side
    12,252.50x = 123,169,604.03
  5. Step 5: Solve for x
    x = 123,169,604.03/12,252.50
  6. Step 6: Final answer
    x = 10,052.61

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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.