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Finding the Fourth Proportional to 23,534.25, 35,305.73 and 7,740.15

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Solution

The fourth proportional to 23,534.25, 35,305.73 and 7,740.15 is: 11,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.25 : 35,305.73 = 7,740.15 : x
  2. Step 2: Convert to fraction form
    23,534.25/35,305.73 = 7,740.15/x
  3. Step 3: Cross multiply
    23,534.25x = 35,305.73 × 7,740.15
  4. Step 4: Simplify right side
    23,534.25x = 273,271,607.36
  5. Step 5: Solve for x
    x = 273,271,607.36/23,534.25
  6. Step 6: Final answer
    x = 11,611.66

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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.