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Finding the Fourth Proportional to 31,004.52, 42,786.14 and 16,857.40

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Solution

The fourth proportional to 31,004.52, 42,786.14 and 16,857.40 is: 23,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.52 : 42,786.14 = 16,857.40 : x
  2. Step 2: Convert to fraction form
    31,004.52/42,786.14 = 16,857.40/x
  3. Step 3: Cross multiply
    31,004.52x = 42,786.14 × 16,857.40
  4. Step 4: Simplify right side
    31,004.52x = 721,263,076.44
  5. Step 5: Solve for x
    x = 721,263,076.44/31,004.52
  6. Step 6: Final answer
    x = 23,263.16

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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.