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Finding the Fourth Proportional to 13,642.98, 18,829.62 and 10,076.46

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Solution

The fourth proportional to 13,642.98, 18,829.62 and 10,076.46 is: 13,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.98 : 18,829.62 = 10,076.46 : x
  2. Step 2: Convert to fraction form
    13,642.98/18,829.62 = 10,076.46/x
  3. Step 3: Cross multiply
    13,642.98x = 18,829.62 × 10,076.46
  4. Step 4: Simplify right side
    13,642.98x = 189,735,912.75
  5. Step 5: Solve for x
    x = 189,735,912.75/13,642.98
  6. Step 6: Final answer
    x = 13,907.22

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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.