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Finding the Fourth Proportional to 19,542, 26,967.81 and 10,589.49

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Solution

The fourth proportional to 19,542, 26,967.81 and 10,589.49 is: 14,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542 : 26,967.81 = 10,589.49 : x
  2. Step 2: Convert to fraction form
    19,542/26,967.81 = 10,589.49/x
  3. Step 3: Cross multiply
    19,542x = 26,967.81 × 10,589.49
  4. Step 4: Simplify right side
    19,542x = 285,575,354.32
  5. Step 5: Solve for x
    x = 285,575,354.32/19,542
  6. Step 6: Final answer
    x = 14,613.41

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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.