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Finding the Fourth Proportional to 17,759.96, 24,505.34 and 10,686.84

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Solution

The fourth proportional to 17,759.96, 24,505.34 and 10,686.84 is: 14,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759.96 : 24,505.34 = 10,686.84 : x
  2. Step 2: Convert to fraction form
    17,759.96/24,505.34 = 10,686.84/x
  3. Step 3: Cross multiply
    17,759.96x = 24,505.34 × 10,686.84
  4. Step 4: Simplify right side
    17,759.96x = 261,884,502.40
  5. Step 5: Solve for x
    x = 261,884,502.40/17,759.96
  6. Step 6: Final answer
    x = 14,745.78

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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.