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Finding the Fourth Proportional to 20,851.95, 28,774.58 and 11,900.28

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Solution

The fourth proportional to 20,851.95, 28,774.58 and 11,900.28 is: 16,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.95 : 28,774.58 = 11,900.28 : x
  2. Step 2: Convert to fraction form
    20,851.95/28,774.58 = 11,900.28/x
  3. Step 3: Cross multiply
    20,851.95x = 28,774.58 × 11,900.28
  4. Step 4: Simplify right side
    20,851.95x = 342,425,499.38
  5. Step 5: Solve for x
    x = 342,425,499.38/20,851.95
  6. Step 6: Final answer
    x = 16,421.75

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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.