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Finding the Fourth Proportional to 21,851.38, 30,269.10 and 21,408.51

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Solution

The fourth proportional to 21,851.38, 30,269.10 and 21,408.51 is: 29,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.38 : 30,269.10 = 21,408.51 : x
  2. Step 2: Convert to fraction form
    21,851.38/30,269.10 = 21,408.51/x
  3. Step 3: Cross multiply
    21,851.38x = 30,269.10 × 21,408.51
  4. Step 4: Simplify right side
    21,851.38x = 648,016,330.04
  5. Step 5: Solve for x
    x = 648,016,330.04/21,851.38
  6. Step 6: Final answer
    x = 29,655.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.