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Finding the Fourth Proportional to 23,763.06, 35,652.49 and 7,969.64

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Solution

The fourth proportional to 23,763.06, 35,652.49 and 7,969.64 is: 11,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763.06 : 35,652.49 = 7,969.64 : x
  2. Step 2: Convert to fraction form
    23,763.06/35,652.49 = 7,969.64/x
  3. Step 3: Cross multiply
    23,763.06x = 35,652.49 × 7,969.64
  4. Step 4: Simplify right side
    23,763.06x = 284,137,312.22
  5. Step 5: Solve for x
    x = 284,137,312.22/23,763.06
  6. Step 6: Final answer
    x = 11,957.10

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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.