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Finding the Fourth Proportional to 23,816.97, 35,672.67 and 16,302.60

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Solution

The fourth proportional to 23,816.97, 35,672.67 and 16,302.60 is: 24,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.97 : 35,672.67 = 16,302.60 : x
  2. Step 2: Convert to fraction form
    23,816.97/35,672.67 = 16,302.60/x
  3. Step 3: Cross multiply
    23,816.97x = 35,672.67 × 16,302.60
  4. Step 4: Simplify right side
    23,816.97x = 581,557,269.94
  5. Step 5: Solve for x
    x = 581,557,269.94/23,816.97
  6. Step 6: Final answer
    x = 24,417.77

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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.