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Finding the Fourth Proportional to 19,906.53, 27,472.18 and 11,411.29

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Solution

The fourth proportional to 19,906.53, 27,472.18 and 11,411.29 is: 15,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.53 : 27,472.18 = 11,411.29 : x
  2. Step 2: Convert to fraction form
    19,906.53/27,472.18 = 11,411.29/x
  3. Step 3: Cross multiply
    19,906.53x = 27,472.18 × 11,411.29
  4. Step 4: Simplify right side
    19,906.53x = 313,493,012.91
  5. Step 5: Solve for x
    x = 313,493,012.91/19,906.53
  6. Step 6: Final answer
    x = 15,748.25

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1.5x scale

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.