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Finding the Fourth Proportional to 22,581.41, 31,162.25 and 13,021.25

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Solution

The fourth proportional to 22,581.41, 31,162.25 and 13,021.25 is: 17,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581.41 : 31,162.25 = 13,021.25 : x
  2. Step 2: Convert to fraction form
    22,581.41/31,162.25 = 13,021.25/x
  3. Step 3: Cross multiply
    22,581.41x = 31,162.25 × 13,021.25
  4. Step 4: Simplify right side
    22,581.41x = 405,771,382.71
  5. Step 5: Solve for x
    x = 405,771,382.71/22,581.41
  6. Step 6: Final answer
    x = 17,969.27

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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.