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Finding the Fourth Proportional to 20,938.02, 28,893.68 and 11,506.02

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Solution

The fourth proportional to 20,938.02, 28,893.68 and 11,506.02 is: 15,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.02 : 28,893.68 = 11,506.02 : x
  2. Step 2: Convert to fraction form
    20,938.02/28,893.68 = 11,506.02/x
  3. Step 3: Cross multiply
    20,938.02x = 28,893.68 × 11,506.02
  4. Step 4: Simplify right side
    20,938.02x = 332,451,259.95
  5. Step 5: Solve for x
    x = 332,451,259.95/20,938.02
  6. Step 6: Final answer
    x = 15,877.87

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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.