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Finding the Fourth Proportional to 12,916.13, 17,826.11 and 7,174.89

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Solution

The fourth proportional to 12,916.13, 17,826.11 and 7,174.89 is: 9,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.13 : 17,826.11 = 7,174.89 : x
  2. Step 2: Convert to fraction form
    12,916.13/17,826.11 = 7,174.89/x
  3. Step 3: Cross multiply
    12,916.13x = 17,826.11 × 7,174.89
  4. Step 4: Simplify right side
    12,916.13x = 127,900,396.32
  5. Step 5: Solve for x
    x = 127,900,396.32/12,916.13
  6. Step 6: Final answer
    x = 9,902.38

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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.