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Finding the Fourth Proportional to 20,969.76, 28,938.34 and 11,409.64

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Solution

The fourth proportional to 20,969.76, 28,938.34 and 11,409.64 is: 15,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.76 : 28,938.34 = 11,409.64 : x
  2. Step 2: Convert to fraction form
    20,969.76/28,938.34 = 11,409.64/x
  3. Step 3: Cross multiply
    20,969.76x = 28,938.34 × 11,409.64
  4. Step 4: Simplify right side
    20,969.76x = 330,176,041.60
  5. Step 5: Solve for x
    x = 330,176,041.60/20,969.76
  6. Step 6: Final answer
    x = 15,745.34

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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.