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Finding the Fourth Proportional to 20,894.24, 31,344.29 and 6,104.24

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Solution

The fourth proportional to 20,894.24, 31,344.29 and 6,104.24 is: 9,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.24 : 31,344.29 = 6,104.24 : x
  2. Step 2: Convert to fraction form
    20,894.24/31,344.29 = 6,104.24/x
  3. Step 3: Cross multiply
    20,894.24x = 31,344.29 × 6,104.24
  4. Step 4: Simplify right side
    20,894.24x = 191,332,881.55
  5. Step 5: Solve for x
    x = 191,332,881.55/20,894.24
  6. Step 6: Final answer
    x = 9,157.21

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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.