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Finding the Fourth Proportional to 20,852, 28,775.76 and 11,420.90

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Solution

The fourth proportional to 20,852, 28,775.76 and 11,420.90 is: 15,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852 : 28,775.76 = 11,420.90 : x
  2. Step 2: Convert to fraction form
    20,852/28,775.76 = 11,420.90/x
  3. Step 3: Cross multiply
    20,852x = 28,775.76 × 11,420.90
  4. Step 4: Simplify right side
    20,852x = 328,645,077.38
  5. Step 5: Solve for x
    x = 328,645,077.38/20,852
  6. Step 6: Final answer
    x = 15,760.84

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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.