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Finding the Fourth Proportional to 20,938.32, 28,894.32 and 11,505.60

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Solution

The fourth proportional to 20,938.32, 28,894.32 and 11,505.60 is: 15,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.32 : 28,894.32 = 11,505.60 : x
  2. Step 2: Convert to fraction form
    20,938.32/28,894.32 = 11,505.60/x
  3. Step 3: Cross multiply
    20,938.32x = 28,894.32 × 11,505.60
  4. Step 4: Simplify right side
    20,938.32x = 332,446,488.19
  5. Step 5: Solve for x
    x = 332,446,488.19/20,938.32
  6. Step 6: Final answer
    x = 15,877.42

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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.