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Finding the Fourth Proportional to 22,967.82, 31,694.75 and 14,030.28

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Solution

The fourth proportional to 22,967.82, 31,694.75 and 14,030.28 is: 19,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.82 : 31,694.75 = 14,030.28 : x
  2. Step 2: Convert to fraction form
    22,967.82/31,694.75 = 14,030.28/x
  3. Step 3: Cross multiply
    22,967.82x = 31,694.75 × 14,030.28
  4. Step 4: Simplify right side
    22,967.82x = 444,686,217.03
  5. Step 5: Solve for x
    x = 444,686,217.03/22,967.82
  6. Step 6: Final answer
    x = 19,361.27

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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.