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Finding the Fourth Proportional to 12,916.50, 17,828.01 and 7,609.38

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Solution

The fourth proportional to 12,916.50, 17,828.01 and 7,609.38 is: 10,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.50 : 17,828.01 = 7,609.38 : x
  2. Step 2: Convert to fraction form
    12,916.50/17,828.01 = 7,609.38/x
  3. Step 3: Cross multiply
    12,916.50x = 17,828.01 × 7,609.38
  4. Step 4: Simplify right side
    12,916.50x = 135,660,102.73
  5. Step 5: Solve for x
    x = 135,660,102.73/12,916.50
  6. Step 6: Final answer
    x = 10,502.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.