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Finding the Fourth Proportional to 12,813.60, 19,202.40 and 10,185.60

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Solution

The fourth proportional to 12,813.60, 19,202.40 and 10,185.60 is: 15,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.60 : 19,202.40 = 10,185.60 : x
  2. Step 2: Convert to fraction form
    12,813.60/19,202.40 = 10,185.60/x
  3. Step 3: Cross multiply
    12,813.60x = 19,202.40 × 10,185.60
  4. Step 4: Simplify right side
    12,813.60x = 195,587,965.44
  5. Step 5: Solve for x
    x = 195,587,965.44/12,813.60
  6. Step 6: Final answer
    x = 15,264.09

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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.