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Finding the Fourth Proportional to 20,852.64, 28,777.02 and 11,420.61

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Solution

The fourth proportional to 20,852.64, 28,777.02 and 11,420.61 is: 15,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852.64 : 28,777.02 = 11,420.61 : x
  2. Step 2: Convert to fraction form
    20,852.64/28,777.02 = 11,420.61/x
  3. Step 3: Cross multiply
    20,852.64x = 28,777.02 × 11,420.61
  4. Step 4: Simplify right side
    20,852.64x = 328,651,122.38
  5. Step 5: Solve for x
    x = 328,651,122.38/20,852.64
  6. Step 6: Final answer
    x = 15,760.65

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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.