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Finding the Fourth Proportional to 12,906.64, 17,810.94 and 7,241.50

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Solution

The fourth proportional to 12,906.64, 17,810.94 and 7,241.50 is: 9,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.64 : 17,810.94 = 7,241.50 : x
  2. Step 2: Convert to fraction form
    12,906.64/17,810.94 = 7,241.50/x
  3. Step 3: Cross multiply
    12,906.64x = 17,810.94 × 7,241.50
  4. Step 4: Simplify right side
    12,906.64x = 128,977,922.01
  5. Step 5: Solve for x
    x = 128,977,922.01/12,906.64
  6. Step 6: Final answer
    x = 9,993.14

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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.