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Finding the Fourth Proportional to 24,300, 36,231.71 and 23,857.13

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Solution

The fourth proportional to 24,300, 36,231.71 and 23,857.13 is: 35,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300 : 36,231.71 = 23,857.13 : x
  2. Step 2: Convert to fraction form
    24,300/36,231.71 = 23,857.13/x
  3. Step 3: Cross multiply
    24,300x = 36,231.71 × 23,857.13
  4. Step 4: Simplify right side
    24,300x = 864,384,586.89
  5. Step 5: Solve for x
    x = 864,384,586.89/24,300
  6. Step 6: Final answer
    x = 35,571.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.