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Finding the Fourth Proportional to 21,508.75, 29,669.21 and 13,537.14

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Solution

The fourth proportional to 21,508.75, 29,669.21 and 13,537.14 is: 18,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,508.75 : 29,669.21 = 13,537.14 : x
  2. Step 2: Convert to fraction form
    21,508.75/29,669.21 = 13,537.14/x
  3. Step 3: Cross multiply
    21,508.75x = 29,669.21 × 13,537.14
  4. Step 4: Simplify right side
    21,508.75x = 401,636,033.43
  5. Step 5: Solve for x
    x = 401,636,033.43/21,508.75
  6. Step 6: Final answer
    x = 18,673.15

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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.