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Finding the Fourth Proportional to 23,782.53, 35,687.47 and 10,633.20

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Solution

The fourth proportional to 23,782.53, 35,687.47 and 10,633.20 is: 15,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.53 : 35,687.47 = 10,633.20 : x
  2. Step 2: Convert to fraction form
    23,782.53/35,687.47 = 10,633.20/x
  3. Step 3: Cross multiply
    23,782.53x = 35,687.47 × 10,633.20
  4. Step 4: Simplify right side
    23,782.53x = 379,472,006.00
  5. Step 5: Solve for x
    x = 379,472,006.00/23,782.53
  6. Step 6: Final answer
    x = 15,955.91

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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.