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Finding the Fourth Proportional to 19,626.28, 27,073.38 and 12,913

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Solution

The fourth proportional to 19,626.28, 27,073.38 and 12,913 is: 17,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,626.28 : 27,073.38 = 12,913 : x
  2. Step 2: Convert to fraction form
    19,626.28/27,073.38 = 12,913/x
  3. Step 3: Cross multiply
    19,626.28x = 27,073.38 × 12,913
  4. Step 4: Simplify right side
    19,626.28x = 349,598,555.94
  5. Step 5: Solve for x
    x = 349,598,555.94/19,626.28
  6. Step 6: Final answer
    x = 17,812.78

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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.