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Finding the Fourth Proportional to 16,676.16, 25,111.38 and 12,324

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Solution

The fourth proportional to 16,676.16, 25,111.38 and 12,324 is: 18,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,676.16 : 25,111.38 = 12,324 : x
  2. Step 2: Convert to fraction form
    16,676.16/25,111.38 = 12,324/x
  3. Step 3: Cross multiply
    16,676.16x = 25,111.38 × 12,324
  4. Step 4: Simplify right side
    16,676.16x = 309,472,647.12
  5. Step 5: Solve for x
    x = 309,472,647.12/16,676.16
  6. Step 6: Final answer
    x = 18,557.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.