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Finding the Fourth Proportional to 17,458, 26,203.20 and 8,103.04

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Solution

The fourth proportional to 17,458, 26,203.20 and 8,103.04 is: 12,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458 : 26,203.20 = 8,103.04 : x
  2. Step 2: Convert to fraction form
    17,458/26,203.20 = 8,103.04/x
  3. Step 3: Cross multiply
    17,458x = 26,203.20 × 8,103.04
  4. Step 4: Simplify right side
    17,458x = 212,325,577.73
  5. Step 5: Solve for x
    x = 212,325,577.73/17,458
  6. Step 6: Final answer
    x = 12,162.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.