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Finding the Fourth Proportional to 16,434.88, 22,676.16 and 9,358.72

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Solution

The fourth proportional to 16,434.88, 22,676.16 and 9,358.72 is: 12,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.88 : 22,676.16 = 9,358.72 : x
  2. Step 2: Convert to fraction form
    16,434.88/22,676.16 = 9,358.72/x
  3. Step 3: Cross multiply
    16,434.88x = 22,676.16 × 9,358.72
  4. Step 4: Simplify right side
    16,434.88x = 212,219,832.12
  5. Step 5: Solve for x
    x = 212,219,832.12/16,434.88
  6. Step 6: Final answer
    x = 12,912.77

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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.