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Finding the Fourth Proportional to 20,568.84, 28,383.38 and 11,617.22

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Solution

The fourth proportional to 20,568.84, 28,383.38 and 11,617.22 is: 16,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.84 : 28,383.38 = 11,617.22 : x
  2. Step 2: Convert to fraction form
    20,568.84/28,383.38 = 11,617.22/x
  3. Step 3: Cross multiply
    20,568.84x = 28,383.38 × 11,617.22
  4. Step 4: Simplify right side
    20,568.84x = 329,736,026.24
  5. Step 5: Solve for x
    x = 329,736,026.24/20,568.84
  6. Step 6: Final answer
    x = 16,030.85

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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.