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Finding the Fourth Proportional to 12,980.07, 17,912.56 and 7,314.89

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Solution

The fourth proportional to 12,980.07, 17,912.56 and 7,314.89 is: 10,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.07 : 17,912.56 = 7,314.89 : x
  2. Step 2: Convert to fraction form
    12,980.07/17,912.56 = 7,314.89/x
  3. Step 3: Cross multiply
    12,980.07x = 17,912.56 × 7,314.89
  4. Step 4: Simplify right side
    12,980.07x = 131,028,344.00
  5. Step 5: Solve for x
    x = 131,028,344.00/12,980.07
  6. Step 6: Final answer
    x = 10,094.58

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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.