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Finding the Fourth Proportional to 12,857.97, 17,740.71 and 7,551.80

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Solution

The fourth proportional to 12,857.97, 17,740.71 and 7,551.80 is: 10,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.97 : 17,740.71 = 7,551.80 : x
  2. Step 2: Convert to fraction form
    12,857.97/17,740.71 = 7,551.80/x
  3. Step 3: Cross multiply
    12,857.97x = 17,740.71 × 7,551.80
  4. Step 4: Simplify right side
    12,857.97x = 133,974,205.07
  5. Step 5: Solve for x
    x = 133,974,205.07/12,857.97
  6. Step 6: Final answer
    x = 10,419.55

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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.