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Finding the Fourth Proportional to 23,782.29, 35,673.78 and 11,303.57

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Solution

The fourth proportional to 23,782.29, 35,673.78 and 11,303.57 is: 16,955.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.29 : 35,673.78 = 11,303.57 : x
  2. Step 2: Convert to fraction form
    23,782.29/35,673.78 = 11,303.57/x
  3. Step 3: Cross multiply
    23,782.29x = 35,673.78 × 11,303.57
  4. Step 4: Simplify right side
    23,782.29x = 403,240,891.03
  5. Step 5: Solve for x
    x = 403,240,891.03/23,782.29
  6. Step 6: Final answer
    x = 16,955.51

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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.