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Finding the Fourth Proportional to 13,908.16, 20,857.92 and 4,672

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Solution

The fourth proportional to 13,908.16, 20,857.92 and 4,672 is: 7,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.16 : 20,857.92 = 4,672 : x
  2. Step 2: Convert to fraction form
    13,908.16/20,857.92 = 4,672/x
  3. Step 3: Cross multiply
    13,908.16x = 20,857.92 × 4,672
  4. Step 4: Simplify right side
    13,908.16x = 97,448,202.24
  5. Step 5: Solve for x
    x = 97,448,202.24/13,908.16
  6. Step 6: Final answer
    x = 7,006.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.