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Finding the Fourth Proportional to 13,485.28, 20,227.92 and 4,252

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Solution

The fourth proportional to 13,485.28, 20,227.92 and 4,252 is: 6,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.28 : 20,227.92 = 4,252 : x
  2. Step 2: Convert to fraction form
    13,485.28/20,227.92 = 4,252/x
  3. Step 3: Cross multiply
    13,485.28x = 20,227.92 × 4,252
  4. Step 4: Simplify right side
    13,485.28x = 86,009,115.84
  5. Step 5: Solve for x
    x = 86,009,115.84/13,485.28
  6. Step 6: Final answer
    x = 6,378.00

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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.