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Finding the Fourth Proportional to 20,102.64, 27,737.76 and 13,028.16

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Solution

The fourth proportional to 20,102.64, 27,737.76 and 13,028.16 is: 17,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.64 : 27,737.76 = 13,028.16 : x
  2. Step 2: Convert to fraction form
    20,102.64/27,737.76 = 13,028.16/x
  3. Step 3: Cross multiply
    20,102.64x = 27,737.76 × 13,028.16
  4. Step 4: Simplify right side
    20,102.64x = 361,371,975.32
  5. Step 5: Solve for x
    x = 361,371,975.32/20,102.64
  6. Step 6: Final answer
    x = 17,976.34

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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.