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Finding the Fourth Proportional to 30,668.24, 42,321.96 and 17,420.24

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Solution

The fourth proportional to 30,668.24, 42,321.96 and 17,420.24 is: 24,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668.24 : 42,321.96 = 17,420.24 : x
  2. Step 2: Convert to fraction form
    30,668.24/42,321.96 = 17,420.24/x
  3. Step 3: Cross multiply
    30,668.24x = 42,321.96 × 17,420.24
  4. Step 4: Simplify right side
    30,668.24x = 737,258,700.47
  5. Step 5: Solve for x
    x = 737,258,700.47/30,668.24
  6. Step 6: Final answer
    x = 24,039.81

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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.