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Finding the Fourth Proportional to 21,514.66, 29,693.01 and 12,083.22

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Solution

The fourth proportional to 21,514.66, 29,693.01 and 12,083.22 is: 16,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.66 : 29,693.01 = 12,083.22 : x
  2. Step 2: Convert to fraction form
    21,514.66/29,693.01 = 12,083.22/x
  3. Step 3: Cross multiply
    21,514.66x = 29,693.01 × 12,083.22
  4. Step 4: Simplify right side
    21,514.66x = 358,787,172.29
  5. Step 5: Solve for x
    x = 358,787,172.29/21,514.66
  6. Step 6: Final answer
    x = 16,676.41

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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.