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Finding the Fourth Proportional to 30,197.70, 41,678.01 and 17,628.66

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Solution

The fourth proportional to 30,197.70, 41,678.01 and 17,628.66 is: 24,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.70 : 41,678.01 = 17,628.66 : x
  2. Step 2: Convert to fraction form
    30,197.70/41,678.01 = 17,628.66/x
  3. Step 3: Cross multiply
    30,197.70x = 41,678.01 × 17,628.66
  4. Step 4: Simplify right side
    30,197.70x = 734,727,467.77
  5. Step 5: Solve for x
    x = 734,727,467.77/30,197.70
  6. Step 6: Final answer
    x = 24,330.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.