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Finding the Fourth Proportional to 23,849.59, 35,778.45 and 9,817.21

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Solution

The fourth proportional to 23,849.59, 35,778.45 and 9,817.21 is: 14,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849.59 : 35,778.45 = 9,817.21 : x
  2. Step 2: Convert to fraction form
    23,849.59/35,778.45 = 9,817.21/x
  3. Step 3: Cross multiply
    23,849.59x = 35,778.45 × 9,817.21
  4. Step 4: Simplify right side
    23,849.59x = 351,244,557.12
  5. Step 5: Solve for x
    x = 351,244,557.12/23,849.59
  6. Step 6: Final answer
    x = 14,727.49

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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.