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Finding the Fourth Proportional to 23,311.93, 32,171.43 and 12,702.14

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Solution

The fourth proportional to 23,311.93, 32,171.43 and 12,702.14 is: 17,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,311.93 : 32,171.43 = 12,702.14 : x
  2. Step 2: Convert to fraction form
    23,311.93/32,171.43 = 12,702.14/x
  3. Step 3: Cross multiply
    23,311.93x = 32,171.43 × 12,702.14
  4. Step 4: Simplify right side
    23,311.93x = 408,646,007.86
  5. Step 5: Solve for x
    x = 408,646,007.86/23,311.93
  6. Step 6: Final answer
    x = 17,529.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.