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Finding the Fourth Proportional to 12,954.89, 17,877.35 and 7,289.96

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Solution

The fourth proportional to 12,954.89, 17,877.35 and 7,289.96 is: 10,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.89 : 17,877.35 = 7,289.96 : x
  2. Step 2: Convert to fraction form
    12,954.89/17,877.35 = 7,289.96/x
  3. Step 3: Cross multiply
    12,954.89x = 17,877.35 × 7,289.96
  4. Step 4: Simplify right side
    12,954.89x = 130,325,040.57
  5. Step 5: Solve for x
    x = 130,325,040.57/12,954.89
  6. Step 6: Final answer
    x = 10,059.91

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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.