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Finding the Fourth Proportional to 22,982.26, 31,718.94 and 14,034.95

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Solution

The fourth proportional to 22,982.26, 31,718.94 and 14,034.95 is: 19,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.26 : 31,718.94 = 14,034.95 : x
  2. Step 2: Convert to fraction form
    22,982.26/31,718.94 = 14,034.95/x
  3. Step 3: Cross multiply
    22,982.26x = 31,718.94 × 14,034.95
  4. Step 4: Simplify right side
    22,982.26x = 445,173,736.95
  5. Step 5: Solve for x
    x = 445,173,736.95/22,982.26
  6. Step 6: Final answer
    x = 19,370.32

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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.