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Finding the Fourth Proportional to 12,450.68, 18,655.86 and 7,825.40

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Solution

The fourth proportional to 12,450.68, 18,655.86 and 7,825.40 is: 11,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,450.68 : 18,655.86 = 7,825.40 : x
  2. Step 2: Convert to fraction form
    12,450.68/18,655.86 = 7,825.40/x
  3. Step 3: Cross multiply
    12,450.68x = 18,655.86 × 7,825.40
  4. Step 4: Simplify right side
    12,450.68x = 145,989,566.84
  5. Step 5: Solve for x
    x = 145,989,566.84/12,450.68
  6. Step 6: Final answer
    x = 11,725.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.