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Finding the Fourth Proportional to 20,172.88, 27,838.08 and 11,220.40

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Solution

The fourth proportional to 20,172.88, 27,838.08 and 11,220.40 is: 15,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.88 : 27,838.08 = 11,220.40 : x
  2. Step 2: Convert to fraction form
    20,172.88/27,838.08 = 11,220.40/x
  3. Step 3: Cross multiply
    20,172.88x = 27,838.08 × 11,220.40
  4. Step 4: Simplify right side
    20,172.88x = 312,354,392.83
  5. Step 5: Solve for x
    x = 312,354,392.83/20,172.88
  6. Step 6: Final answer
    x = 15,483.88

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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.