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Finding the Fourth Proportional to 20,801.60, 31,202.40 and 10,409.60

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Solution

The fourth proportional to 20,801.60, 31,202.40 and 10,409.60 is: 15,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.60 : 31,202.40 = 10,409.60 : x
  2. Step 2: Convert to fraction form
    20,801.60/31,202.40 = 10,409.60/x
  3. Step 3: Cross multiply
    20,801.60x = 31,202.40 × 10,409.60
  4. Step 4: Simplify right side
    20,801.60x = 324,804,503.04
  5. Step 5: Solve for x
    x = 324,804,503.04/20,801.60
  6. Step 6: Final answer
    x = 15,614.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.