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Finding the Fourth Proportional to 22,676.18, 34,010.42 and 16,082.32

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Solution

The fourth proportional to 22,676.18, 34,010.42 and 16,082.32 is: 24,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.18 : 34,010.42 = 16,082.32 : x
  2. Step 2: Convert to fraction form
    22,676.18/34,010.42 = 16,082.32/x
  3. Step 3: Cross multiply
    22,676.18x = 34,010.42 × 16,082.32
  4. Step 4: Simplify right side
    22,676.18x = 546,966,457.77
  5. Step 5: Solve for x
    x = 546,966,457.77/22,676.18
  6. Step 6: Final answer
    x = 24,120.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.