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Finding the Fourth Proportional to 13,485.78, 20,228.67 and 4,252.50

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Solution

The fourth proportional to 13,485.78, 20,228.67 and 4,252.50 is: 6,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.78 : 20,228.67 = 4,252.50 : x
  2. Step 2: Convert to fraction form
    13,485.78/20,228.67 = 4,252.50/x
  3. Step 3: Cross multiply
    13,485.78x = 20,228.67 × 4,252.50
  4. Step 4: Simplify right side
    13,485.78x = 86,022,419.18
  5. Step 5: Solve for x
    x = 86,022,419.18/13,485.78
  6. Step 6: Final answer
    x = 6,378.75

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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.