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Finding the Fourth Proportional to 12,725.25, 17,560.85 and 7,419.05

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Solution

The fourth proportional to 12,725.25, 17,560.85 and 7,419.05 is: 10,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.25 : 17,560.85 = 7,419.05 : x
  2. Step 2: Convert to fraction form
    12,725.25/17,560.85 = 7,419.05/x
  3. Step 3: Cross multiply
    12,725.25x = 17,560.85 × 7,419.05
  4. Step 4: Simplify right side
    12,725.25x = 130,284,699.29
  5. Step 5: Solve for x
    x = 130,284,699.29/12,725.25
  6. Step 6: Final answer
    x = 10,238.28

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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.