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Finding the Fourth Proportional to 24,268.96, 33,491.24 and 13,658.77

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Solution

The fourth proportional to 24,268.96, 33,491.24 and 13,658.77 is: 18,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,268.96 : 33,491.24 = 13,658.77 : x
  2. Step 2: Convert to fraction form
    24,268.96/33,491.24 = 13,658.77/x
  3. Step 3: Cross multiply
    24,268.96x = 33,491.24 × 13,658.77
  4. Step 4: Simplify right side
    24,268.96x = 457,449,144.17
  5. Step 5: Solve for x
    x = 457,449,144.17/24,268.96
  6. Step 6: Final answer
    x = 18,849.14

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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.