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Finding the Fourth Proportional to 23,199.97, 32,016.04 and 12,589.60

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Solution

The fourth proportional to 23,199.97, 32,016.04 and 12,589.60 is: 17,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199.97 : 32,016.04 = 12,589.60 : x
  2. Step 2: Convert to fraction form
    23,199.97/32,016.04 = 12,589.60/x
  3. Step 3: Cross multiply
    23,199.97x = 32,016.04 × 12,589.60
  4. Step 4: Simplify right side
    23,199.97x = 403,068,929.89
  5. Step 5: Solve for x
    x = 403,068,929.89/23,199.97
  6. Step 6: Final answer
    x = 17,373.69

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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.