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Finding the Fourth Proportional to 16,516.73, 24,713.01 and 9,828.61

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Solution

The fourth proportional to 16,516.73, 24,713.01 and 9,828.61 is: 14,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.73 : 24,713.01 = 9,828.61 : x
  2. Step 2: Convert to fraction form
    16,516.73/24,713.01 = 9,828.61/x
  3. Step 3: Cross multiply
    16,516.73x = 24,713.01 × 9,828.61
  4. Step 4: Simplify right side
    16,516.73x = 242,894,537.22
  5. Step 5: Solve for x
    x = 242,894,537.22/16,516.73
  6. Step 6: Final answer
    x = 14,705.97

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Why These Related Problems?

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