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Finding the Fourth Proportional to 11,529.60, 17,294.40 and 4,142.40

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Solution

The fourth proportional to 11,529.60, 17,294.40 and 4,142.40 is: 6,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529.60 : 17,294.40 = 4,142.40 : x
  2. Step 2: Convert to fraction form
    11,529.60/17,294.40 = 4,142.40/x
  3. Step 3: Cross multiply
    11,529.60x = 17,294.40 × 4,142.40
  4. Step 4: Simplify right side
    11,529.60x = 71,640,322.56
  5. Step 5: Solve for x
    x = 71,640,322.56/11,529.60
  6. Step 6: Final answer
    x = 6,213.60

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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.