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Finding the Fourth Proportional to 20,852.67, 28,777.01 and 11,420.63

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Solution

The fourth proportional to 20,852.67, 28,777.01 and 11,420.63 is: 15,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852.67 : 28,777.01 = 11,420.63 : x
  2. Step 2: Convert to fraction form
    20,852.67/28,777.01 = 11,420.63/x
  3. Step 3: Cross multiply
    20,852.67x = 28,777.01 × 11,420.63
  4. Step 4: Simplify right side
    20,852.67x = 328,651,382.73
  5. Step 5: Solve for x
    x = 328,651,382.73/20,852.67
  6. Step 6: Final answer
    x = 15,760.64

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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.