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Finding the Fourth Proportional to 23,043.64, 31,797.74 and 12,971.92

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Solution

The fourth proportional to 23,043.64, 31,797.74 and 12,971.92 is: 17,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043.64 : 31,797.74 = 12,971.92 : x
  2. Step 2: Convert to fraction form
    23,043.64/31,797.74 = 12,971.92/x
  3. Step 3: Cross multiply
    23,043.64x = 31,797.74 × 12,971.92
  4. Step 4: Simplify right side
    23,043.64x = 412,477,739.46
  5. Step 5: Solve for x
    x = 412,477,739.46/23,043.64
  6. Step 6: Final answer
    x = 17,899.85

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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.