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Finding the Fourth Proportional to 17,765.31, 24,507.77 and 10,591.16

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Solution

The fourth proportional to 17,765.31, 24,507.77 and 10,591.16 is: 14,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.31 : 24,507.77 = 10,591.16 : x
  2. Step 2: Convert to fraction form
    17,765.31/24,507.77 = 10,591.16/x
  3. Step 3: Cross multiply
    17,765.31x = 24,507.77 × 10,591.16
  4. Step 4: Simplify right side
    17,765.31x = 259,565,537.82
  5. Step 5: Solve for x
    x = 259,565,537.82/17,765.31
  6. Step 6: Final answer
    x = 14,610.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.