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Finding the Fourth Proportional to 12,262.46, 16,922.59 and 6,957.50

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Solution

The fourth proportional to 12,262.46, 16,922.59 and 6,957.50 is: 9,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.46 : 16,922.59 = 6,957.50 : x
  2. Step 2: Convert to fraction form
    12,262.46/16,922.59 = 6,957.50/x
  3. Step 3: Cross multiply
    12,262.46x = 16,922.59 × 6,957.50
  4. Step 4: Simplify right side
    12,262.46x = 117,738,817.92
  5. Step 5: Solve for x
    x = 117,738,817.92/12,262.46
  6. Step 6: Final answer
    x = 9,601.57

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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.