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Finding the Fourth Proportional to 20,880, 28,829.52 and 13,440.96

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Solution

The fourth proportional to 20,880, 28,829.52 and 13,440.96 is: 18,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,880 : 28,829.52 = 13,440.96 : x
  2. Step 2: Convert to fraction form
    20,880/28,829.52 = 13,440.96/x
  3. Step 3: Cross multiply
    20,880x = 28,829.52 × 13,440.96
  4. Step 4: Simplify right side
    20,880x = 387,496,425.14
  5. Step 5: Solve for x
    x = 387,496,425.14/20,880
  6. Step 6: Final answer
    x = 18,558.26

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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.