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Finding the Fourth Proportional to 23,816.72, 35,716.73 and 9,772.68

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Solution

The fourth proportional to 23,816.72, 35,716.73 and 9,772.68 is: 14,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.72 : 35,716.73 = 9,772.68 : x
  2. Step 2: Convert to fraction form
    23,816.72/35,716.73 = 9,772.68/x
  3. Step 3: Cross multiply
    23,816.72x = 35,716.73 × 9,772.68
  4. Step 4: Simplify right side
    23,816.72x = 349,048,124.07
  5. Step 5: Solve for x
    x = 349,048,124.07/23,816.72
  6. Step 6: Final answer
    x = 14,655.59

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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.