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Finding the Fourth Proportional to 15,873.57, 23,792.52 and 7,546.77

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Solution

The fourth proportional to 15,873.57, 23,792.52 and 7,546.77 is: 11,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.57 : 23,792.52 = 7,546.77 : x
  2. Step 2: Convert to fraction form
    15,873.57/23,792.52 = 7,546.77/x
  3. Step 3: Cross multiply
    15,873.57x = 23,792.52 × 7,546.77
  4. Step 4: Simplify right side
    15,873.57x = 179,556,676.16
  5. Step 5: Solve for x
    x = 179,556,676.16/15,873.57
  6. Step 6: Final answer
    x = 11,311.68

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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.