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Finding the Fourth Proportional to 12,980.16, 17,912.60 and 7,011.82

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Solution

The fourth proportional to 12,980.16, 17,912.60 and 7,011.82 is: 9,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.16 : 17,912.60 = 7,011.82 : x
  2. Step 2: Convert to fraction form
    12,980.16/17,912.60 = 7,011.82/x
  3. Step 3: Cross multiply
    12,980.16x = 17,912.60 × 7,011.82
  4. Step 4: Simplify right side
    12,980.16x = 125,599,926.93
  5. Step 5: Solve for x
    x = 125,599,926.93/12,980.16
  6. Step 6: Final answer
    x = 9,676.30

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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.