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Finding the Fourth Proportional to 15,765.16, 23,651.10 and 5,383.72

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Solution

The fourth proportional to 15,765.16, 23,651.10 and 5,383.72 is: 8,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.16 : 23,651.10 = 5,383.72 : x
  2. Step 2: Convert to fraction form
    15,765.16/23,651.10 = 5,383.72/x
  3. Step 3: Cross multiply
    15,765.16x = 23,651.10 × 5,383.72
  4. Step 4: Simplify right side
    15,765.16x = 127,330,900.09
  5. Step 5: Solve for x
    x = 127,330,900.09/15,765.16
  6. Step 6: Final answer
    x = 8,076.73

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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.