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Finding the Fourth Proportional to 23,828.40, 35,731.04 and 7,185.33

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Solution

The fourth proportional to 23,828.40, 35,731.04 and 7,185.33 is: 10,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.40 : 35,731.04 = 7,185.33 : x
  2. Step 2: Convert to fraction form
    23,828.40/35,731.04 = 7,185.33/x
  3. Step 3: Cross multiply
    23,828.40x = 35,731.04 × 7,185.33
  4. Step 4: Simplify right side
    23,828.40x = 256,739,277.72
  5. Step 5: Solve for x
    x = 256,739,277.72/23,828.40
  6. Step 6: Final answer
    x = 10,774.51

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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.