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Finding the Fourth Proportional to 23,702.69, 35,553.83 and 9,659.43

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Solution

The fourth proportional to 23,702.69, 35,553.83 and 9,659.43 is: 14,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.69 : 35,553.83 = 9,659.43 : x
  2. Step 2: Convert to fraction form
    23,702.69/35,553.83 = 9,659.43/x
  3. Step 3: Cross multiply
    23,702.69x = 35,553.83 × 9,659.43
  4. Step 4: Simplify right side
    23,702.69x = 343,429,683.82
  5. Step 5: Solve for x
    x = 343,429,683.82/23,702.69
  6. Step 6: Final answer
    x = 14,489.06

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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.