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Finding the Fourth Proportional to 23,496.66, 35,250.63 and 7,702.86

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Solution

The fourth proportional to 23,496.66, 35,250.63 and 7,702.86 is: 11,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.66 : 35,250.63 = 7,702.86 : x
  2. Step 2: Convert to fraction form
    23,496.66/35,250.63 = 7,702.86/x
  3. Step 3: Cross multiply
    23,496.66x = 35,250.63 × 7,702.86
  4. Step 4: Simplify right side
    23,496.66x = 271,530,667.80
  5. Step 5: Solve for x
    x = 271,530,667.80/23,496.66
  6. Step 6: Final answer
    x = 11,556.14

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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.