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Finding the Fourth Proportional to 15,581.98, 23,373 and 6,817.57

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Solution

The fourth proportional to 15,581.98, 23,373 and 6,817.57 is: 10,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,581.98 : 23,373 = 6,817.57 : x
  2. Step 2: Convert to fraction form
    15,581.98/23,373 = 6,817.57/x
  3. Step 3: Cross multiply
    15,581.98x = 23,373 × 6,817.57
  4. Step 4: Simplify right side
    15,581.98x = 159,347,063.61
  5. Step 5: Solve for x
    x = 159,347,063.61/15,581.98
  6. Step 6: Final answer
    x = 10,226.37

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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.