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Finding the Fourth Proportional to 23,057.66, 31,786.08 and 19,857.12

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Solution

The fourth proportional to 23,057.66, 31,786.08 and 19,857.12 is: 27,373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.66 : 31,786.08 = 19,857.12 : x
  2. Step 2: Convert to fraction form
    23,057.66/31,786.08 = 19,857.12/x
  3. Step 3: Cross multiply
    23,057.66x = 31,786.08 × 19,857.12
  4. Step 4: Simplify right side
    23,057.66x = 631,180,004.89
  5. Step 5: Solve for x
    x = 631,180,004.89/23,057.66
  6. Step 6: Final answer
    x = 27,373.98

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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.