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Finding the Fourth Proportional to 13,604.28, 20,406.48 and 5,285.20

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Solution

The fourth proportional to 13,604.28, 20,406.48 and 5,285.20 is: 7,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.28 : 20,406.48 = 5,285.20 : x
  2. Step 2: Convert to fraction form
    13,604.28/20,406.48 = 5,285.20/x
  3. Step 3: Cross multiply
    13,604.28x = 20,406.48 × 5,285.20
  4. Step 4: Simplify right side
    13,604.28x = 107,852,328.10
  5. Step 5: Solve for x
    x = 107,852,328.10/13,604.28
  6. Step 6: Final answer
    x = 7,927.82

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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.