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Finding the Fourth Proportional to 20,428.88, 28,194.50 and 11,476.38

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Solution

The fourth proportional to 20,428.88, 28,194.50 and 11,476.38 is: 15,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428.88 : 28,194.50 = 11,476.38 : x
  2. Step 2: Convert to fraction form
    20,428.88/28,194.50 = 11,476.38/x
  3. Step 3: Cross multiply
    20,428.88x = 28,194.50 × 11,476.38
  4. Step 4: Simplify right side
    20,428.88x = 323,570,795.91
  5. Step 5: Solve for x
    x = 323,570,795.91/20,428.88
  6. Step 6: Final answer
    x = 15,838.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.