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Finding the Fourth Proportional to 12,881.88, 17,773.92 and 7,846.02

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Solution

The fourth proportional to 12,881.88, 17,773.92 and 7,846.02 is: 10,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.88 : 17,773.92 = 7,846.02 : x
  2. Step 2: Convert to fraction form
    12,881.88/17,773.92 = 7,846.02/x
  3. Step 3: Cross multiply
    12,881.88x = 17,773.92 × 7,846.02
  4. Step 4: Simplify right side
    12,881.88x = 139,454,531.80
  5. Step 5: Solve for x
    x = 139,454,531.80/12,881.88
  6. Step 6: Final answer
    x = 10,825.64

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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.