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Finding the Fourth Proportional to 13,740.16, 18,960.96 and 8,435.20

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Solution

The fourth proportional to 13,740.16, 18,960.96 and 8,435.20 is: 11,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.16 : 18,960.96 = 8,435.20 : x
  2. Step 2: Convert to fraction form
    13,740.16/18,960.96 = 8,435.20/x
  3. Step 3: Cross multiply
    13,740.16x = 18,960.96 × 8,435.20
  4. Step 4: Simplify right side
    13,740.16x = 159,939,489.79
  5. Step 5: Solve for x
    x = 159,939,489.79/13,740.16
  6. Step 6: Final answer
    x = 11,640.29

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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.