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Finding the Fourth Proportional to 22,801.49, 31,465.44 and 12,729.65

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Solution

The fourth proportional to 22,801.49, 31,465.44 and 12,729.65 is: 17,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.49 : 31,465.44 = 12,729.65 : x
  2. Step 2: Convert to fraction form
    22,801.49/31,465.44 = 12,729.65/x
  3. Step 3: Cross multiply
    22,801.49x = 31,465.44 × 12,729.65
  4. Step 4: Simplify right side
    22,801.49x = 400,543,880.97
  5. Step 5: Solve for x
    x = 400,543,880.97/22,801.49
  6. Step 6: Final answer
    x = 17,566.57

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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.