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Finding the Fourth Proportional to 17,630.90, 26,409.55 and 8,278.90

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Solution

The fourth proportional to 17,630.90, 26,409.55 and 8,278.90 is: 12,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630.90 : 26,409.55 = 8,278.90 : x
  2. Step 2: Convert to fraction form
    17,630.90/26,409.55 = 8,278.90/x
  3. Step 3: Cross multiply
    17,630.90x = 26,409.55 × 8,278.90
  4. Step 4: Simplify right side
    17,630.90x = 218,642,023.50
  5. Step 5: Solve for x
    x = 218,642,023.50/17,630.90
  6. Step 6: Final answer
    x = 12,401.07

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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.