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Finding the Fourth Proportional to 12,724.84, 17,563.62 and 7,137.64

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Solution

The fourth proportional to 12,724.84, 17,563.62 and 7,137.64 is: 9,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.84 : 17,563.62 = 7,137.64 : x
  2. Step 2: Convert to fraction form
    12,724.84/17,563.62 = 7,137.64/x
  3. Step 3: Cross multiply
    12,724.84x = 17,563.62 × 7,137.64
  4. Step 4: Simplify right side
    12,724.84x = 125,362,796.66
  5. Step 5: Solve for x
    x = 125,362,796.66/12,724.84
  6. Step 6: Final answer
    x = 9,851.82

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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.