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Finding the Fourth Proportional to 12,951.90, 17,874.02 and 7,286.51

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Solution

The fourth proportional to 12,951.90, 17,874.02 and 7,286.51 is: 10,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.90 : 17,874.02 = 7,286.51 : x
  2. Step 2: Convert to fraction form
    12,951.90/17,874.02 = 7,286.51/x
  3. Step 3: Cross multiply
    12,951.90x = 17,874.02 × 7,286.51
  4. Step 4: Simplify right side
    12,951.90x = 130,239,146.84
  5. Step 5: Solve for x
    x = 130,239,146.84/12,951.90
  6. Step 6: Final answer
    x = 10,055.60

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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.