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Finding the Fourth Proportional to 23,827.38, 35,741.06 and 9,976.38

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Solution

The fourth proportional to 23,827.38, 35,741.06 and 9,976.38 is: 14,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.38 : 35,741.06 = 9,976.38 : x
  2. Step 2: Convert to fraction form
    23,827.38/35,741.06 = 9,976.38/x
  3. Step 3: Cross multiply
    23,827.38x = 35,741.06 × 9,976.38
  4. Step 4: Simplify right side
    23,827.38x = 356,566,396.16
  5. Step 5: Solve for x
    x = 356,566,396.16/23,827.38
  6. Step 6: Final answer
    x = 14,964.57

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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.