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Finding the Fourth Proportional to 21,772.59, 32,631.57 and 11,776.94

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Solution

The fourth proportional to 21,772.59, 32,631.57 and 11,776.94 is: 17,650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.59 : 32,631.57 = 11,776.94 : x
  2. Step 2: Convert to fraction form
    21,772.59/32,631.57 = 11,776.94/x
  3. Step 3: Cross multiply
    21,772.59x = 32,631.57 × 11,776.94
  4. Step 4: Simplify right side
    21,772.59x = 384,299,878.84
  5. Step 5: Solve for x
    x = 384,299,878.84/21,772.59
  6. Step 6: Final answer
    x = 17,650.63

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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.