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Finding the Fourth Proportional to 22,505.69, 31,047.51 and 13,072.43

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Solution

The fourth proportional to 22,505.69, 31,047.51 and 13,072.43 is: 18,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.69 : 31,047.51 = 13,072.43 : x
  2. Step 2: Convert to fraction form
    22,505.69/31,047.51 = 13,072.43/x
  3. Step 3: Cross multiply
    22,505.69x = 31,047.51 × 13,072.43
  4. Step 4: Simplify right side
    22,505.69x = 405,866,401.15
  5. Step 5: Solve for x
    x = 405,866,401.15/22,505.69
  6. Step 6: Final answer
    x = 18,033.95

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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.