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Finding the Fourth Proportional to 13,097.20, 19,644.90 and 4,212.40

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Solution

The fourth proportional to 13,097.20, 19,644.90 and 4,212.40 is: 6,318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.20 : 19,644.90 = 4,212.40 : x
  2. Step 2: Convert to fraction form
    13,097.20/19,644.90 = 4,212.40/x
  3. Step 3: Cross multiply
    13,097.20x = 19,644.90 × 4,212.40
  4. Step 4: Simplify right side
    13,097.20x = 82,752,176.76
  5. Step 5: Solve for x
    x = 82,752,176.76/13,097.20
  6. Step 6: Final answer
    x = 6,318.31

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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.