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Finding the Fourth Proportional to 23,422.12, 32,321.92 and 12,811.06

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Solution

The fourth proportional to 23,422.12, 32,321.92 and 12,811.06 is: 17,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.12 : 32,321.92 = 12,811.06 : x
  2. Step 2: Convert to fraction form
    23,422.12/32,321.92 = 12,811.06/x
  3. Step 3: Cross multiply
    23,422.12x = 32,321.92 × 12,811.06
  4. Step 4: Simplify right side
    23,422.12x = 414,078,056.44
  5. Step 5: Solve for x
    x = 414,078,056.44/23,422.12
  6. Step 6: Final answer
    x = 17,678.93

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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.