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Finding the Fourth Proportional to 12,825.54, 17,695.38 and 12,402.72

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Solution

The fourth proportional to 12,825.54, 17,695.38 and 12,402.72 is: 17,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.54 : 17,695.38 = 12,402.72 : x
  2. Step 2: Convert to fraction form
    12,825.54/17,695.38 = 12,402.72/x
  3. Step 3: Cross multiply
    12,825.54x = 17,695.38 × 12,402.72
  4. Step 4: Simplify right side
    12,825.54x = 219,470,843.43
  5. Step 5: Solve for x
    x = 219,470,843.43/12,825.54
  6. Step 6: Final answer
    x = 17,112.02

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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.