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Finding the Fourth Proportional to 12,725.40, 17,567.82 and 9,594.84

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Solution

The fourth proportional to 12,725.40, 17,567.82 and 9,594.84 is: 13,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.40 : 17,567.82 = 9,594.84 : x
  2. Step 2: Convert to fraction form
    12,725.40/17,567.82 = 9,594.84/x
  3. Step 3: Cross multiply
    12,725.40x = 17,567.82 × 9,594.84
  4. Step 4: Simplify right side
    12,725.40x = 168,560,422.05
  5. Step 5: Solve for x
    x = 168,560,422.05/12,725.40
  6. Step 6: Final answer
    x = 13,245.98

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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.