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Finding the Fourth Proportional to 22,731, 31,373.10 and 12,795

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Solution

The fourth proportional to 22,731, 31,373.10 and 12,795 is: 17,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731 : 31,373.10 = 12,795 : x
  2. Step 2: Convert to fraction form
    22,731/31,373.10 = 12,795/x
  3. Step 3: Cross multiply
    22,731x = 31,373.10 × 12,795
  4. Step 4: Simplify right side
    22,731x = 401,418,814.50
  5. Step 5: Solve for x
    x = 401,418,814.50/22,731
  6. Step 6: Final answer
    x = 17,659.53

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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.