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Finding the Fourth Proportional to 13,134.90, 19,708.20 and 6,893.40

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Solution

The fourth proportional to 13,134.90, 19,708.20 and 6,893.40 is: 10,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.90 : 19,708.20 = 6,893.40 : x
  2. Step 2: Convert to fraction form
    13,134.90/19,708.20 = 6,893.40/x
  3. Step 3: Cross multiply
    13,134.90x = 19,708.20 × 6,893.40
  4. Step 4: Simplify right side
    13,134.90x = 135,856,505.88
  5. Step 5: Solve for x
    x = 135,856,505.88/13,134.90
  6. Step 6: Final answer
    x = 10,343.17

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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.