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Finding the Fourth Proportional to 21,408.14, 29,536.03 and 12,448.28

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Solution

The fourth proportional to 21,408.14, 29,536.03 and 12,448.28 is: 17,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.14 : 29,536.03 = 12,448.28 : x
  2. Step 2: Convert to fraction form
    21,408.14/29,536.03 = 12,448.28/x
  3. Step 3: Cross multiply
    21,408.14x = 29,536.03 × 12,448.28
  4. Step 4: Simplify right side
    21,408.14x = 367,672,561.61
  5. Step 5: Solve for x
    x = 367,672,561.61/21,408.14
  6. Step 6: Final answer
    x = 17,174.43

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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.