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Finding the Fourth Proportional to 15,200.80, 20,977.16 and 9,228.46

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Solution

The fourth proportional to 15,200.80, 20,977.16 and 9,228.46 is: 12,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.80 : 20,977.16 = 9,228.46 : x
  2. Step 2: Convert to fraction form
    15,200.80/20,977.16 = 9,228.46/x
  3. Step 3: Cross multiply
    15,200.80x = 20,977.16 × 9,228.46
  4. Step 4: Simplify right side
    15,200.80x = 193,586,881.97
  5. Step 5: Solve for x
    x = 193,586,881.97/15,200.80
  6. Step 6: Final answer
    x = 12,735.31

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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.