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Finding the Fourth Proportional to 20,840.40, 28,760.40 and 11,409.84

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Solution

The fourth proportional to 20,840.40, 28,760.40 and 11,409.84 is: 15,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840.40 : 28,760.40 = 11,409.84 : x
  2. Step 2: Convert to fraction form
    20,840.40/28,760.40 = 11,409.84/x
  3. Step 3: Cross multiply
    20,840.40x = 28,760.40 × 11,409.84
  4. Step 4: Simplify right side
    20,840.40x = 328,151,562.34
  5. Step 5: Solve for x
    x = 328,151,562.34/20,840.40
  6. Step 6: Final answer
    x = 15,745.93

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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.