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Finding the Fourth Proportional to 11,380.80, 17,060.40 and 10,214.40

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Solution

The fourth proportional to 11,380.80, 17,060.40 and 10,214.40 is: 15,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.80 : 17,060.40 = 10,214.40 : x
  2. Step 2: Convert to fraction form
    11,380.80/17,060.40 = 10,214.40/x
  3. Step 3: Cross multiply
    11,380.80x = 17,060.40 × 10,214.40
  4. Step 4: Simplify right side
    11,380.80x = 174,261,749.76
  5. Step 5: Solve for x
    x = 174,261,749.76/11,380.80
  6. Step 6: Final answer
    x = 15,311.91

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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.