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Finding the Fourth Proportional to 19,670.10, 27,136.11 and 13,294.37

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Solution

The fourth proportional to 19,670.10, 27,136.11 and 13,294.37 is: 18,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.10 : 27,136.11 = 13,294.37 : x
  2. Step 2: Convert to fraction form
    19,670.10/27,136.11 = 13,294.37/x
  3. Step 3: Cross multiply
    19,670.10x = 27,136.11 × 13,294.37
  4. Step 4: Simplify right side
    19,670.10x = 360,757,486.70
  5. Step 5: Solve for x
    x = 360,757,486.70/19,670.10
  6. Step 6: Final answer
    x = 18,340.40

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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.