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Finding the Fourth Proportional to 24,351.93, 36,533.43 and 7,713

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Solution

The fourth proportional to 24,351.93, 36,533.43 and 7,713 is: 11,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,351.93 : 36,533.43 = 7,713 : x
  2. Step 2: Convert to fraction form
    24,351.93/36,533.43 = 7,713/x
  3. Step 3: Cross multiply
    24,351.93x = 36,533.43 × 7,713
  4. Step 4: Simplify right side
    24,351.93x = 281,782,345.59
  5. Step 5: Solve for x
    x = 281,782,345.59/24,351.93
  6. Step 6: Final answer
    x = 11,571.25

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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.