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Finding the Fourth Proportional to 13,740.90, 18,963.36 and 7,772.82

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Solution

The fourth proportional to 13,740.90, 18,963.36 and 7,772.82 is: 10,727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.90 : 18,963.36 = 7,772.82 : x
  2. Step 2: Convert to fraction form
    13,740.90/18,963.36 = 7,772.82/x
  3. Step 3: Cross multiply
    13,740.90x = 18,963.36 × 7,772.82
  4. Step 4: Simplify right side
    13,740.90x = 147,398,783.88
  5. Step 5: Solve for x
    x = 147,398,783.88/13,740.90
  6. Step 6: Final answer
    x = 10,727.01

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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.