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Finding the Fourth Proportional to 21,704.76, 32,562 and 11,838.96

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Solution

The fourth proportional to 21,704.76, 32,562 and 11,838.96 is: 17,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.76 : 32,562 = 11,838.96 : x
  2. Step 2: Convert to fraction form
    21,704.76/32,562 = 11,838.96/x
  3. Step 3: Cross multiply
    21,704.76x = 32,562 × 11,838.96
  4. Step 4: Simplify right side
    21,704.76x = 385,500,215.52
  5. Step 5: Solve for x
    x = 385,500,215.52/21,704.76
  6. Step 6: Final answer
    x = 17,761.09

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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.