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Finding the Fourth Proportional to 12,661.94, 17,474.15 and 7,627.75

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Solution

The fourth proportional to 12,661.94, 17,474.15 and 7,627.75 is: 10,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.94 : 17,474.15 = 7,627.75 : x
  2. Step 2: Convert to fraction form
    12,661.94/17,474.15 = 7,627.75/x
  3. Step 3: Cross multiply
    12,661.94x = 17,474.15 × 7,627.75
  4. Step 4: Simplify right side
    12,661.94x = 133,288,423.05
  5. Step 5: Solve for x
    x = 133,288,423.05/12,661.94
  6. Step 6: Final answer
    x = 10,526.70

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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.