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Finding the Fourth Proportional to 20,859.84, 28,786.56 and 11,428.32

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Solution

The fourth proportional to 20,859.84, 28,786.56 and 11,428.32 is: 15,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.84 : 28,786.56 = 11,428.32 : x
  2. Step 2: Convert to fraction form
    20,859.84/28,786.56 = 11,428.32/x
  3. Step 3: Cross multiply
    20,859.84x = 28,786.56 × 11,428.32
  4. Step 4: Simplify right side
    20,859.84x = 328,982,019.38
  5. Step 5: Solve for x
    x = 328,982,019.38/20,859.84
  6. Step 6: Final answer
    x = 15,771.07

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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.