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Finding the Fourth Proportional to 13,102.95, 19,654.49 and 3,242.21

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Solution

The fourth proportional to 13,102.95, 19,654.49 and 3,242.21 is: 4,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.95 : 19,654.49 = 3,242.21 : x
  2. Step 2: Convert to fraction form
    13,102.95/19,654.49 = 3,242.21/x
  3. Step 3: Cross multiply
    13,102.95x = 19,654.49 × 3,242.21
  4. Step 4: Simplify right side
    13,102.95x = 63,723,869.54
  5. Step 5: Solve for x
    x = 63,723,869.54/13,102.95
  6. Step 6: Final answer
    x = 4,863.32

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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.