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Finding the Fourth Proportional to 19,174, 26,461.20 and 10,791.04

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Solution

The fourth proportional to 19,174, 26,461.20 and 10,791.04 is: 14,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,174 : 26,461.20 = 10,791.04 : x
  2. Step 2: Convert to fraction form
    19,174/26,461.20 = 10,791.04/x
  3. Step 3: Cross multiply
    19,174x = 26,461.20 × 10,791.04
  4. Step 4: Simplify right side
    19,174x = 285,543,867.65
  5. Step 5: Solve for x
    x = 285,543,867.65/19,174
  6. Step 6: Final answer
    x = 14,892.24

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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.