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Finding the Fourth Proportional to 20,896.84, 28,837.56 and 11,465.38

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Solution

The fourth proportional to 20,896.84, 28,837.56 and 11,465.38 is: 15,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.84 : 28,837.56 = 11,465.38 : x
  2. Step 2: Convert to fraction form
    20,896.84/28,837.56 = 11,465.38/x
  3. Step 3: Cross multiply
    20,896.84x = 28,837.56 × 11,465.38
  4. Step 4: Simplify right side
    20,896.84x = 330,633,583.67
  5. Step 5: Solve for x
    x = 330,633,583.67/20,896.84
  6. Step 6: Final answer
    x = 15,822.18

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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.