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Finding the Fourth Proportional to 13,740.84, 18,960.48 and 8,076.96

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Solution

The fourth proportional to 13,740.84, 18,960.48 and 8,076.96 is: 11,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.84 : 18,960.48 = 8,076.96 : x
  2. Step 2: Convert to fraction form
    13,740.84/18,960.48 = 8,076.96/x
  3. Step 3: Cross multiply
    13,740.84x = 18,960.48 × 8,076.96
  4. Step 4: Simplify right side
    13,740.84x = 153,143,038.54
  5. Step 5: Solve for x
    x = 153,143,038.54/13,740.84
  6. Step 6: Final answer
    x = 11,145.10

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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.