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Finding the Fourth Proportional to 22,829.52, 31,504.50 and 13,396.26

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Solution

The fourth proportional to 22,829.52, 31,504.50 and 13,396.26 is: 18,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.52 : 31,504.50 = 13,396.26 : x
  2. Step 2: Convert to fraction form
    22,829.52/31,504.50 = 13,396.26/x
  3. Step 3: Cross multiply
    22,829.52x = 31,504.50 × 13,396.26
  4. Step 4: Simplify right side
    22,829.52x = 422,042,473.17
  5. Step 5: Solve for x
    x = 422,042,473.17/22,829.52
  6. Step 6: Final answer
    x = 18,486.70

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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.