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Finding the Fourth Proportional to 17,419.96, 26,128.16 and 4,770.85

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Solution

The fourth proportional to 17,419.96, 26,128.16 and 4,770.85 is: 7,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,419.96 : 26,128.16 = 4,770.85 : x
  2. Step 2: Convert to fraction form
    17,419.96/26,128.16 = 4,770.85/x
  3. Step 3: Cross multiply
    17,419.96x = 26,128.16 × 4,770.85
  4. Step 4: Simplify right side
    17,419.96x = 124,653,401.50
  5. Step 5: Solve for x
    x = 124,653,401.50/17,419.96
  6. Step 6: Final answer
    x = 7,155.78

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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.