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Finding the Fourth Proportional to 20,927.38, 28,880.81 and 11,496.15

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Solution

The fourth proportional to 20,927.38, 28,880.81 and 11,496.15 is: 15,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,927.38 : 28,880.81 = 11,496.15 : x
  2. Step 2: Convert to fraction form
    20,927.38/28,880.81 = 11,496.15/x
  3. Step 3: Cross multiply
    20,927.38x = 28,880.81 × 11,496.15
  4. Step 4: Simplify right side
    20,927.38x = 332,018,123.88
  5. Step 5: Solve for x
    x = 332,018,123.88/20,927.38
  6. Step 6: Final answer
    x = 15,865.25

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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.