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Finding the Fourth Proportional to 13,213.67, 19,817.46 and 7,878.35

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Solution

The fourth proportional to 13,213.67, 19,817.46 and 7,878.35 is: 11,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.67 : 19,817.46 = 7,878.35 : x
  2. Step 2: Convert to fraction form
    13,213.67/19,817.46 = 7,878.35/x
  3. Step 3: Cross multiply
    13,213.67x = 19,817.46 × 7,878.35
  4. Step 4: Simplify right side
    13,213.67x = 156,128,991.04
  5. Step 5: Solve for x
    x = 156,128,991.04/13,213.67
  6. Step 6: Final answer
    x = 11,815.72

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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.