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Finding the Fourth Proportional to 17,770.05, 26,655.54 and 8,414.46

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Solution

The fourth proportional to 17,770.05, 26,655.54 and 8,414.46 is: 12,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.05 : 26,655.54 = 8,414.46 : x
  2. Step 2: Convert to fraction form
    17,770.05/26,655.54 = 8,414.46/x
  3. Step 3: Cross multiply
    17,770.05x = 26,655.54 × 8,414.46
  4. Step 4: Simplify right side
    17,770.05x = 224,291,975.11
  5. Step 5: Solve for x
    x = 224,291,975.11/17,770.05
  6. Step 6: Final answer
    x = 12,621.91

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