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Finding the Fourth Proportional to 15,861.75, 23,792.82 and 7,542.57

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Solution

The fourth proportional to 15,861.75, 23,792.82 and 7,542.57 is: 11,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,861.75 : 23,792.82 = 7,542.57 : x
  2. Step 2: Convert to fraction form
    15,861.75/23,792.82 = 7,542.57/x
  3. Step 3: Cross multiply
    15,861.75x = 23,792.82 × 7,542.57
  4. Step 4: Simplify right side
    15,861.75x = 179,459,010.35
  5. Step 5: Solve for x
    x = 179,459,010.35/15,861.75
  6. Step 6: Final answer
    x = 11,313.95

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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.