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Finding the Fourth Proportional to 20,156.88, 27,816 and 11,204.40

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Solution

The fourth proportional to 20,156.88, 27,816 and 11,204.40 is: 15,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.88 : 27,816 = 11,204.40 : x
  2. Step 2: Convert to fraction form
    20,156.88/27,816 = 11,204.40/x
  3. Step 3: Cross multiply
    20,156.88x = 27,816 × 11,204.40
  4. Step 4: Simplify right side
    20,156.88x = 311,661,590.40
  5. Step 5: Solve for x
    x = 311,661,590.40/20,156.88
  6. Step 6: Final answer
    x = 15,461.80

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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.