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Finding the Fourth Proportional to 23,200.64, 32,016 and 12,589.92

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Solution

The fourth proportional to 23,200.64, 32,016 and 12,589.92 is: 17,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.64 : 32,016 = 12,589.92 : x
  2. Step 2: Convert to fraction form
    23,200.64/32,016 = 12,589.92/x
  3. Step 3: Cross multiply
    23,200.64x = 32,016 × 12,589.92
  4. Step 4: Simplify right side
    23,200.64x = 403,078,878.72
  5. Step 5: Solve for x
    x = 403,078,878.72/23,200.64
  6. Step 6: Final answer
    x = 17,373.61

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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.