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Finding the Fourth Proportional to 23,496.17, 35,261.76 and 9,456.32

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Solution

The fourth proportional to 23,496.17, 35,261.76 and 9,456.32 is: 14,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.17 : 35,261.76 = 9,456.32 : x
  2. Step 2: Convert to fraction form
    23,496.17/35,261.76 = 9,456.32/x
  3. Step 3: Cross multiply
    23,496.17x = 35,261.76 × 9,456.32
  4. Step 4: Simplify right side
    23,496.17x = 333,446,310.01
  5. Step 5: Solve for x
    x = 333,446,310.01/23,496.17
  6. Step 6: Final answer
    x = 14,191.52

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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.