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Finding the Fourth Proportional to 23,813.28, 32,817 and 17,441.82

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Solution

The fourth proportional to 23,813.28, 32,817 and 17,441.82 is: 24,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.28 : 32,817 = 17,441.82 : x
  2. Step 2: Convert to fraction form
    23,813.28/32,817 = 17,441.82/x
  3. Step 3: Cross multiply
    23,813.28x = 32,817 × 17,441.82
  4. Step 4: Simplify right side
    23,813.28x = 572,388,206.94
  5. Step 5: Solve for x
    x = 572,388,206.94/23,813.28
  6. Step 6: Final answer
    x = 24,036.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.