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Finding the Fourth Proportional to 17,876.44, 26,811.50 and 4,729

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Solution

The fourth proportional to 17,876.44, 26,811.50 and 4,729 is: 7,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.44 : 26,811.50 = 4,729 : x
  2. Step 2: Convert to fraction form
    17,876.44/26,811.50 = 4,729/x
  3. Step 3: Cross multiply
    17,876.44x = 26,811.50 × 4,729
  4. Step 4: Simplify right side
    17,876.44x = 126,791,583.50
  5. Step 5: Solve for x
    x = 126,791,583.50/17,876.44
  6. Step 6: Final answer
    x = 7,092.66

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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.