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Finding the Fourth Proportional to 23,758.31, 35,633.60 and 7,970.33

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Solution

The fourth proportional to 23,758.31, 35,633.60 and 7,970.33 is: 11,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.31 : 35,633.60 = 7,970.33 : x
  2. Step 2: Convert to fraction form
    23,758.31/35,633.60 = 7,970.33/x
  3. Step 3: Cross multiply
    23,758.31x = 35,633.60 × 7,970.33
  4. Step 4: Simplify right side
    23,758.31x = 284,011,630.21
  5. Step 5: Solve for x
    x = 284,011,630.21/23,758.31
  6. Step 6: Final answer
    x = 11,954.20

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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.