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Finding the Fourth Proportional to 16,117.84, 24,183.64 and 9,103.12

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Solution

The fourth proportional to 16,117.84, 24,183.64 and 9,103.12 is: 13,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.84 : 24,183.64 = 9,103.12 : x
  2. Step 2: Convert to fraction form
    16,117.84/24,183.64 = 9,103.12/x
  3. Step 3: Cross multiply
    16,117.84x = 24,183.64 × 9,103.12
  4. Step 4: Simplify right side
    16,117.84x = 220,146,576.96
  5. Step 5: Solve for x
    x = 220,146,576.96/16,117.84
  6. Step 6: Final answer
    x = 13,658.57

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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.