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Finding the Fourth Proportional to 20,851.76, 28,776.12 and 11,420.84

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Solution

The fourth proportional to 20,851.76, 28,776.12 and 11,420.84 is: 15,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.76 : 28,776.12 = 11,420.84 : x
  2. Step 2: Convert to fraction form
    20,851.76/28,776.12 = 11,420.84/x
  3. Step 3: Cross multiply
    20,851.76x = 28,776.12 × 11,420.84
  4. Step 4: Simplify right side
    20,851.76x = 328,647,462.34
  5. Step 5: Solve for x
    x = 328,647,462.34/20,851.76
  6. Step 6: Final answer
    x = 15,761.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.