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Finding the Fourth Proportional to 10,676.97, 16,018.34 and 9,648.81

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Solution

The fourth proportional to 10,676.97, 16,018.34 and 9,648.81 is: 14,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.97 : 16,018.34 = 9,648.81 : x
  2. Step 2: Convert to fraction form
    10,676.97/16,018.34 = 9,648.81/x
  3. Step 3: Cross multiply
    10,676.97x = 16,018.34 × 9,648.81
  4. Step 4: Simplify right side
    10,676.97x = 154,557,870.93
  5. Step 5: Solve for x
    x = 154,557,870.93/10,676.97
  6. Step 6: Final answer
    x = 14,475.82

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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.