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Finding the Fourth Proportional to 17,634.52, 26,451.06 and 7,246

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Solution

The fourth proportional to 17,634.52, 26,451.06 and 7,246 is: 10,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.52 : 26,451.06 = 7,246 : x
  2. Step 2: Convert to fraction form
    17,634.52/26,451.06 = 7,246/x
  3. Step 3: Cross multiply
    17,634.52x = 26,451.06 × 7,246
  4. Step 4: Simplify right side
    17,634.52x = 191,664,380.76
  5. Step 5: Solve for x
    x = 191,664,380.76/17,634.52
  6. Step 6: Final answer
    x = 10,868.70

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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.