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Finding the Fourth Proportional to 13,419.75, 20,133.20 and 4,654.65

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Solution

The fourth proportional to 13,419.75, 20,133.20 and 4,654.65 is: 6,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.75 : 20,133.20 = 4,654.65 : x
  2. Step 2: Convert to fraction form
    13,419.75/20,133.20 = 4,654.65/x
  3. Step 3: Cross multiply
    13,419.75x = 20,133.20 × 4,654.65
  4. Step 4: Simplify right side
    13,419.75x = 93,712,976.11
  5. Step 5: Solve for x
    x = 93,712,976.11/13,419.75
  6. Step 6: Final answer
    x = 6,983.21

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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.