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Finding the Fourth Proportional to 21,409.14, 29,537.40 and 12,449.28

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Solution

The fourth proportional to 21,409.14, 29,537.40 and 12,449.28 is: 17,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.14 : 29,537.40 = 12,449.28 : x
  2. Step 2: Convert to fraction form
    21,409.14/29,537.40 = 12,449.28/x
  3. Step 3: Cross multiply
    21,409.14x = 29,537.40 × 12,449.28
  4. Step 4: Simplify right side
    21,409.14x = 367,719,363.07
  5. Step 5: Solve for x
    x = 367,719,363.07/21,409.14
  6. Step 6: Final answer
    x = 17,175.81

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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.