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Finding the Fourth Proportional to 21,537.36, 29,712.42 and 13,149

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Solution

The fourth proportional to 21,537.36, 29,712.42 and 13,149 is: 18,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.36 : 29,712.42 = 13,149 : x
  2. Step 2: Convert to fraction form
    21,537.36/29,712.42 = 13,149/x
  3. Step 3: Cross multiply
    21,537.36x = 29,712.42 × 13,149
  4. Step 4: Simplify right side
    21,537.36x = 390,688,610.58
  5. Step 5: Solve for x
    x = 390,688,610.58/21,537.36
  6. Step 6: Final answer
    x = 18,140.04

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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.