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Finding the Fourth Proportional to 24,391.86, 33,658.68 and 14,319.24

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Solution

The fourth proportional to 24,391.86, 33,658.68 and 14,319.24 is: 19,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,391.86 : 33,658.68 = 14,319.24 : x
  2. Step 2: Convert to fraction form
    24,391.86/33,658.68 = 14,319.24/x
  3. Step 3: Cross multiply
    24,391.86x = 33,658.68 × 14,319.24
  4. Step 4: Simplify right side
    24,391.86x = 481,966,717.00
  5. Step 5: Solve for x
    x = 481,966,717.00/24,391.86
  6. Step 6: Final answer
    x = 19,759.33

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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.