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Finding the Fourth Proportional to 15,876.67, 23,813.17 and 4,190.80

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Solution

The fourth proportional to 15,876.67, 23,813.17 and 4,190.80 is: 6,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.67 : 23,813.17 = 4,190.80 : x
  2. Step 2: Convert to fraction form
    15,876.67/23,813.17 = 4,190.80/x
  3. Step 3: Cross multiply
    15,876.67x = 23,813.17 × 4,190.80
  4. Step 4: Simplify right side
    15,876.67x = 99,796,232.84
  5. Step 5: Solve for x
    x = 99,796,232.84/15,876.67
  6. Step 6: Final answer
    x = 6,285.72

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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.