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Finding the Fourth Proportional to 19,695.46, 27,180.42 and 10,743.46

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Solution

The fourth proportional to 19,695.46, 27,180.42 and 10,743.46 is: 14,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,695.46 : 27,180.42 = 10,743.46 : x
  2. Step 2: Convert to fraction form
    19,695.46/27,180.42 = 10,743.46/x
  3. Step 3: Cross multiply
    19,695.46x = 27,180.42 × 10,743.46
  4. Step 4: Simplify right side
    19,695.46x = 292,011,755.05
  5. Step 5: Solve for x
    x = 292,011,755.05/19,695.46
  6. Step 6: Final answer
    x = 14,826.35

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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.