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Finding the Fourth Proportional to 13,740.86, 18,960.18 and 7,771.16

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Solution

The fourth proportional to 13,740.86, 18,960.18 and 7,771.16 is: 10,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.86 : 18,960.18 = 7,771.16 : x
  2. Step 2: Convert to fraction form
    13,740.86/18,960.18 = 7,771.16/x
  3. Step 3: Cross multiply
    13,740.86x = 18,960.18 × 7,771.16
  4. Step 4: Simplify right side
    13,740.86x = 147,342,592.41
  5. Step 5: Solve for x
    x = 147,342,592.41/13,740.86
  6. Step 6: Final answer
    x = 10,722.95

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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.