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Finding the Fourth Proportional to 23,548.18, 35,321.34 and 7,965.80

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Solution

The fourth proportional to 23,548.18, 35,321.34 and 7,965.80 is: 11,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548.18 : 35,321.34 = 7,965.80 : x
  2. Step 2: Convert to fraction form
    23,548.18/35,321.34 = 7,965.80/x
  3. Step 3: Cross multiply
    23,548.18x = 35,321.34 × 7,965.80
  4. Step 4: Simplify right side
    23,548.18x = 281,362,730.17
  5. Step 5: Solve for x
    x = 281,362,730.17/23,548.18
  6. Step 6: Final answer
    x = 11,948.39

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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.